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paper at least 250-750 words.
1. Introduction
2. Thesis Statement
3. Supporting details
4. Conclusion
The Digital Divide: The Challenge of Technology and Equity
(1) Information technology is influence the way many of us live and work today. We use the internet to look and apply for jobs, shop, conduct research, make airline reservations, and explore areas of interest. We use Email and internet to communicate instantaneously with friends and business associates around the world. Computers are commonplace in homes and the workplace.
(2) Although the number of internet users is growing exponentially each year, most of the worlds population does not have access to computers of the internet. Only 6 percent of the population in the developing countries are connected to telephones. Although more than 94 percent of U.S households have telephones, only 56 percent
have personal computers at home and 50 percent have internet access. The lack of what most of us would consider a basic communication necessity the telephone does not occur just in developing nations. On some Native American reservations only 60 percent of the residents have a telephone. The move to wireless connectivity may eliminate the need for telephone lines, but it does not remove the barrier to equipment costs.
(3) Who has internet access? The digital divide between the populations who have access to the internet and information technology tools and those who dont is based on income, race, education, household type, and geographic location, but the gap between groups is narrowing. Eighty-five percent of households with an income
over $75,000 have internet access, compared with less than 20 percent of the households with income under $15,000. Over 80 percent of college graduates use the internet as compared with 40 percent of high school completers and 13 percent of high school dropouts. Seventy-two percent of household with two parents have internet access; 40 percent of female, single parent households do. Differences are also found among households and families from different racial and ethnic groups. Fifty-five percent of white households, 31 percent of black households, 32 percent of Latino households, 68 percent of Asian or Pacific Islander households, and 39 percent of American Indian, Eskimos, or Aleut households have access to the internet. The number of internet users who are children under nine years old and persons over fifty has more than triple since 1997. Households in inner cities are less likely to have computers and internet access than those in urban and rural areas, but the differences are no more than 6 percent.
(4) Another problem that exacerbates these disparities is that African-American, Latinos, and Native Americans hold few of the jobs in information technology. Women about 20 percent of these jobs and receiving fewer than 30 percent of the Bachelors degrees in computer and information science. The result is that women and members of the most oppressed ethnic group are not eligible for the jobs with the highest salaries at graduation. Baccalaureate candidates with degree in computer science were offered the highest salaries of all new college graduates.
(5) Do similar disparities exist in schools? Ninety-eight percent of schools in the country are wired with at least one internet connection. The number of classrooms with internet connection differs by the income level of students. Using the percentage of students who are eligible for free lunches at a school to determine income level, we see that the higher percentage of the schools with more affluent students have wired classrooms than those with high concentrations of low-income students.
(6) Access to computers and the internet will be important in reducing disparities between groups. It will require higher equality across diverse groups whose members develop knowledge and skills in computer and information technologies. The field today is overrepresented by white males. If computers and the internet are to be used to promote equality, they have to become accessible to schools cannot currently afford the equipment which needs to be updated regularly every three years or so. However, access alone is not enough; Students will have to be interacting with the technology in authentic settings. As technology has become a tool for learning in almost all courses taken by students, it will be seen as a means to an end rather than an end in itself. If it is used in culturally relevant ways, all students can benefit from its power.

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d for 1H NMR should be dilute.
b. Samples for 13C NMR should be dilute, and for 1H NMR should be concentrated.
c. Samples for 13C NMR and 1H NMR should both be concentrated.
d. Samples for 13C NMR and 1H NMR should both be dilute.
3. What is the proper way to dispose of an NMR sample that had deuterated chloroform (CDCl3) as the solvent?
a. Placement down the drain.
b. Placement in the non-halogenated organic waste container.
c. Placement in the halogenated organic waste container.
d. Placement in the oven for evaporation.
4. Which feature of a 1H NMR spectrum can provide information about the number of inequivalent kinds of hydrogen in the structure?
a. chemical shift
b. coupling
c. integration
d. None of the above.
5. Which feature of a 1H NMR spectrum can provide information about the number of neighboring hydrogens that a given hydrogen in the structure has?
a. chemical shift
b. coupling
c. integration
d. None of the above.
6. Which feature of a 1H NMR spectrum can provide information about the number of hydrogens responsible for each signal?
a. chemical shift
b. coupling
c. integration
d. None of the above
7. An unknown has a specific rotation (i.e., a rotation unequal to 0°) as measured with a polarimeter. What is true about the unknown?
a. The structure contains at least one chirality center.
b. The structure contains no chirality centers.
c. The structure has a plane of symmetry.
d. None of the above.
8. True or False: Conjugation increases the wavenumber of absorption in the IR spectrum.
True
False
9. What group classification does a solid unknown most likely belong to if its melting point is greater than 250 °C?
a. carboxylic acid
b. amino acid
c. amine
d. acid derivative
10. True or False: If a liquid unknown freezes when placed in an ice-water bath for 10 minutes, the melting point of the unknown is between 0 °C and 25 °C.
True
False

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Rose
By: Tomson Highway
Should Only Native Actors Have the Right to Play Native Roles?
Deep in my Cree heart of hearts, I had two-millennium projects on the go, though this only in hindsight. One was for the year 2000, the other for 2001, and thus just to make sure I had the right year for actually beginning this brand new, and incredibly exciting, millenium. Those two projects? For the year 2000, an English language production, in Toronto, of the third play in what I call my “Rez Septology,” a play called Rose. And for the year 2001, the Japanese-language premiere, in Tokyo, of the second play in the septology, a play called Dry Lips Oughta Move to Kapuskasing. And this is how the two projects affected me and my life:
When it dawned on me, one cloudy day, that my career as a playwright had been destroyed by political correctness, I just about died. I wanted to throw myself under a subway train and just call it a day. I was horrified! After all that work? After all those years of struggle and of hope and of prayer and of pain and of tears and of more struggle, against odds that were impossible to begin with? But how can it be? How can the voice of a playwright be silenced? By a method so brutally effective as political correctness? In a country supposedly as civilized as Canada? Questions like this, and others like them, resounded through my brain over and over and over again. As they do to this day. Permit me, therefore, to start off with the “backdrop” before I go into “the projects,” please:
First of all, I don’t happen to have the good fortune of coming from a city such as Montreal or Vancouver or Toronto or Ottawa or New York or any other major city where educational (and employment) opportunities, right from age one, are virtually unlimited (believe me, you can be a movie star by age one in such cities!). And I don’t come from a city where English (or French) is the language of the day. I come, instead, from one of the tiniest, most remote, most inaccessible, most underprivileged and most troubled Indian reserves in the country, Brochet, Manitoba, population 700, one thousand five hundred kilometers directly north of Winnipeg (further than Churchill but on the opposite side of the province). I come from a place where the language spoken is Cree. AND Dene, incidentally; because we are located so far north, we spill over into the land of such sub-arctic peoples as the Dene (linguistically speaking) to the Navajo and other southwest Native nations. In fact, to fly from Toronto (my home until recently) to Brochet costs more than a ticket to Sydney, Australia or to Rio de Janeiro. To fly home to visit my family (which I do regular as clockwork), I could fly from Toronto to London, England and back - three times each way- for the same amount of money, easy. No jumping in a taxi or a car or on a bus or a train or a “seat sale” seat on a plane from Toronto to Vancouver for the likes of us, not to go have lunch with Mom, not to go to a funeral. Plane ticket prices for Canada’s northerners? Brutal. Brutal, brutal, brutal. And that’s just the distance barrier, never mind the linguistic. For Cree is as different from English as English is from Cantonese; not one shred of resemblance exists. In fact, the two languages are often completely at odds with each other. In one language, for instance, God is male, in the other, female. And that’s just the start…
So along comes this little Indian boy from one such remote northern Native community and into the big, big city of Toronto and he dares to dream of a career in the theatre, or, at the very least, in the world of Canadian letters. Fat chance, baby! Forget it.
He doesn’t listen. He goes ahead anyway. “No matter how they laugh, let them laugh. I can do it,” he says to himself. And he puts his shoulder to the grindstone, as they say in movies.
People always say The Rez Sisters was my first play. That’s not true. It’s not true at all. It may have been my first play to be successful with the general public. But there were five plays that came before that, every one of them self-produced, with money from my very own pocket. And some of these plays were awful, some of them were good, at least two of them were very, very good. But only with The Rez Sisters did my work suddenly, finally get noticed by, as I say, a wider public. By which time, I was almost forty. And what I had to go through to get those first five plays self-produced, you don’t even wanna know! How do you make money standing with your back against the wall in some big city, downtown back alley? Late, late at night? Guess.
When it came to that “first” play, however - and I speak here about The Rez Sisters, which, in fact, was my sixth - it was the fall of 1986. In those days, of course, you could count the number of professional Native actors in this country on the fingers on one hand alone. In my wildest dreams - keeping in mind that my work was totally unknown then - I dared to write this play for “them,” meaning for those four or five professional Native actors then in existence. The reason? I adored them. I just absolutely adored these people AND their work. They were my heroes. They kept my dreams alive.
So it came to the casting of the show. Finally, my play was going to get done! I was so excited I could hardly sleep at night. So then I approached them, these Native actors, for you see, as always, I was the producer, again, or at least in this case, one of the two co-producers, god bless the other co-producer, may he rest in peace. These Native actors, however, all said “no.” They were all too busy working on other projects, many of them on Native subject matter written by - horrors! - white people! I pleaded with them and pleaded with them and pleaded with them but, still, they said “no.” God bless them and their courageous careers but they made me cry. They made me want to give up and die.
So what choice did I have? Either I forget the play and kill myself. OR I go right ahead and hire - horrors! - white actors! Which is what I did, exactly. And these white actors, they were SO generous, they were so kind, so supportive, so confidence generating that, with their help as with that of those Native actors who did say “yes,” god bless them - I simply bloomed. The play opened. The play was successful. And it has never really stopped playing ever since, somewhere in the world, giving continued employment to many, many, many actors both Native and non-Native. As it will do probably forever - your grandchildren will be playing in The Rez Sisters! - something that would NEVER have happened if not for the help of extremely generous people who happened NOT to be Native, actors who happened to be white!
Several years later, I experienced a similar situation. This time, it was with a play called Rose. Again I wrote it for Native actors - of which, by this time (1991), there were many more - actors whom I absolutely adored, whose work I absolutely adored. And again, for some strange reason, they said “no.” They were NOT interested. I couldn’t get them interested. If their objective was to make me cry, then they were certainly utterly successful.
So then I waited ten years. Ten years! And by this time, I’m almost fifty years old, okay? Until some incredibly generous non-Native person comes along and offers to produce it, albeit, in a university setting, that is, a non-professional (i.e., non-paying) setting. I was thrilled. I was so thrilled I could have danced myself to shreds!
So then they went to work on it, this group of “white kids,” none of whom was older than twenty-five. And they worked. And they worked and they worked and they worked and they worked. Never seen such a group of people work so hard. And with so much faith and so much conviction and so much love. It was a blessing from heaven to be sitting there beside them, to be in the same room as them. They glowed, they glowed like lightbulbs. You’ve never seen people so happy, so high. And by the time the show opened, you couldn’t get a ticket; it had been sold out way before opening; hundreds of people were turned away. On virtually no advertising; it all happened by word of mouth. And, to me -as to most people who saw it - the production was FANTASTIC! It was rich, it was beautiful, it was spectacular, it was moving, it was...miraculous! Not perfect, perhaps, but pretty gall-darned good.
But these were the things about this experience that most struck me, that most stayed with me:
Not one of these actors got paid; they were students; in fact, because they were students of the drama programme at the University of Toronto, they were paying for the experience through their tuition fees which, if I understand correctly, can be as much as $8,000 a year at that particular institution. Pardon me - ONE of those actors DID get paid, a little girl we needed who, of course (being little), came from outside the drama programme. And she, by the way - and god bless her - was the only performer in that production who was Native. But how many Native actors do YOU know who would be willing to pay $8,000 to be in a show? Any show? That question stunned me.
All the other performers? Well, we had French-Canadians and Anglo-Canadians and
Dutch-Canadians and Polish-Canadians and Ukrainian-Canadians and Jewish-Canadians and Peruvian-Canadians and Lebanese-Canadians and Portuguese-Canadians and god only knows what else! And none of them have even met a Native person, up until then. They pretty well all came from the city of Toronto, or somewhere very close by (such as Barrie, or Sudbury) so they had never, ever been privy to any even remotely “Native experience” in their lives. Now, for the first time, in their third year of university, at ages 21-25, here they were getting this heavy-duty immersion course in “Native Studies,” meaning Native culture, Native history, Native spirituality, Native language - they were learning to speak Cree for god’s sake, something you can’t get Cree kids to do these days! - Native art, Native music, and just generally, Native life in this country, today. And you know what? They all fell in love with it. Now, as the direct result of such an experience, what they have for Native culture and people and languages is endless respect, even awe. And love. And what’s more, they will pass on that knowledge and that love and respect - and wisdom - on to their children and their grandchildren and their great grandchildren, etc., etc., etc…. The experience changed their lives. And both communities - Native AND non-Native - will benefit from it, both in the long term AND permanently.
The experience certainly changed MY life. It shocked me. The shock? That generosity and kindness and love know no racial boundaries. And that, contrariwise, UN generosity and lack of kindness and just plain cruelty ALSO know no racial boundaries. Coming out of Rose, I ended up with the immense gift of, minimum, 30 gorgeous, fantastically kind new friends, people whose friendship and generosity - and laughter - I will cherish right up until the day I die.
And the icing on the cake? A show was born that otherwise would never have been born, that otherwise would have died forever. A show was born that will give useful, meaningful, enriching employment - and enjoyment - to many, many people for many, many years. Like, I say, the whole thing was a shock. And it took ten years!
One more story before I close off on my point, the story, that is of my second “millennium project,” so-called. As it turns out, I’m writing this from Japan, specifically Tokyo, where the Japanese-language production of another play of mine, Dry Lips Oughta Move to Kapuskasing, just opened.
It was awesome. And, again, it wasn’t so much the production - which was absolutely stunning! Imagine, if you will, the Seven Samurai doing Dry Lips.. - that move me so much as the generosity of the cast and crew, Japanese every one of them. That generosity, that kindness, that largeness of heart, just astonished me. It made me cry. To be the beneficiary of kindness on that scale is a gift one could easily die for. As a result of just that one project, I now have a hundred friends, easy, in Japan. For the rest of my life! I LOVE Tokyo!
And again, none of these people had ever met a Native person - well, two had, but…- much less knew anything about Native culture first hand. By the end of the six-week rehearsal process, however, some of them were speaking Cree AND some Ojibway. And let me tell you, to hear your own Native tongue being spoken with a Japanese accent is a bittersweet experience indeed. (I mean, come on, folks! To be unilingual in a language that’s not even your own? If the Japanese can learn Cree, YOU can learn Ojibway!) And, again, these people will pass their respect for Native people and culture on to their children, their grandchildren, their great great grandchildren etc., etc., etc…. The experience changed their lives. It changed mine.
The one question I kept being asked over and over? How does it feel to have Japanese actors playing Native parts? (In the aforementioned Canadian production of The Rez Sisters, it was more like, “how dare these two white women STEAL Native parts from Native actors!” Well, good grief! The show would never have been born without them in the first place!) Anyway, my answer to the question in Japan was this:
1) These Japanese actors, they’re human beings, for god’s sake. What they are, first, foremost and last, is real-life, flesh-and-blood human beings with feelings, human beings who happen to be incredibly talented. And incredibly generous. If they hadn’t agreed to do it, it would never, EVER have happened.
2)To me, saying that only Native actors have the right to play Native roles - on stage, anyway, as opposed to film, which another thing entirely and not at all what I’m talking about here - well, that’s like saying only Italian actors have the right to play in Romeo and Juliet, or only Danish actors have the right to play in Hamlet, or only Spanish actors have the right to play in Blood Wedding. It would be like saying to someone like Canadian film-maker Atom Egoyan, “you have the right to work with Armenian actors only,” which, of course, would automatically bring his career to a standstill; it would destroy it, it would kill it, right there on the spot. Or as I asked, one sunny day, a respected, much admired Jewish theatre artist, “how would you like to work with no but Jews for the rest of your life?” You could almost see his hair stand on end; the very thought horrified him.
My argument with someone else at that same summer gathering? “Theatre is about illusion, the better the magic, the more profound the experience.” Besides, working in a situation of cultural, ethnic and linguistic diversity can be the most empowering, most liberating, most exhilarating experience in anyone’s life. Working in a pressure cooker environment by comparison? Working in the context of a “ghetto” of any kind whatsoever, be that “ghetto” Native or black or French or English or Jewish or female or male or gay or…? Remember the expression, “familiarity breeds contempt”? Well, only too frequently, such a working environment can only mean THAT kind of disaster. Or one of plain, out-and-out hatred. And hatred, as who doesn’t know, kills and kills completely. It kills relationships, it kills communities, it kills love. Look at what the Argentinians did TO EACH OTHER during the so-called “dirty war” of the 1970s. Look at what the Spanish did TO EACH OTHER during the Spanish Civil War. Look at what the Chileans have done TO EACH OTHER. Look at the Irish in Northern Ireland. Look at the Balkans, at Cambodia in the ‘80s, at Haiti, at Rwanda, etc., etc., etc…. Does anybody out there actually want to live like that? Internally directed hatred, internally directed violence - which, in essence, is what civil war is - well, there is nothing more destructive, we all know that. Diversity! What we all need is diversity! What we all need, desperately, is room to breathe! That’s what makes Canada work as a society; precisely its diversity. If we - all of us - were Cree, I would have had my head macheted off a long, long time ago!
All by way of saying the following: “Only Native actors have the right to play Native roles?” Music to Native actor’s ears, perhaps, yes, god bless them. But death to a Native playwright’s career. Because chances are that the show will NEVER, ever get done. No producer in the country has balls that size, balls big enough, that is to say, of going against the political grain. Not today. Not tomorrow.
Stop it, you people! It’s killing us!
Myself, I had to move out of the country, finally. I could no longer live there, not really. I kind of live, well...all over the world now. I do where I can find work. Because I certainly am NOT finding it in my own country. I go where I can find the kindness, I go where I can find the generosity, I go where I can find the friendship and support. The working situation in Canada, for someone like me? Well, it has simply become unworkable. I find it stultifying, asphyxiating. I CAN’T work under such artificial constraints. No one can. Sooner or later, it will drive you crazy. Not to mention kill your imagination. AND your career. All as you watch, with envious eyes, the careers of your non-Native playwright colleagues (whom you love) bloom like a garden everywhere around you…
It seems to me that what we have here are two distinct choices: a) either we cast a show politically correctly (meaning only Native actors play Native parts) and the show never, ever gets produced (trust me; I waited ten years for Rose to happen, more for others which will NEVER get done), or b) cast it any way you want, in whatever way you can afford it budget-wise (plane tickets are a waste of money, trust me), let the show be born, let the show become successful, and THEN it will live on forever to employ many, many, many more actors, Native and otherwise, for many, many, many more years. And the upshot of the latter arrangement? Having Native and non-Native actors working side by side like that? There is no better healing agent for bringing two only-too-frequently disparate, disharmonious communities together. And, in the process, making our country an even better, richer, healthier country than it is already.
The life of an artist is so incredibly challenging, after all, a Native artist’s most especially, in Canada today, or anywhere in the world. Everywhere you turn, insurmountable obstacles meet you square in the face. Everywhere you turn, events, or people, conspire to bring you down, to destroy you. What those artists need, and need most desperately, is as much breathing space as you can give them, the freedom to create, the freedom to employ, the freedom to fly with their souls and imaginations. Don’t hold them down. Don’t shoot them down. You will kill them. Or drive them away. They need all the help they can possibly acquire. They’ve already almost killed themselves just to get to where they are today.
Someone said to me one day: “Artists are here to break down barriers, not to create them.” So, myself, I’ve moved away. I’ve left my own country, to continue helping to break down barriers in whatever way I still can, at my age, in the only way I know how, and to have a good time doing it. The thing is, I can do that. I can take it. I’ve had, as they say in the business, my “fifteen minutes of fame.” Enough already. I’ve been very, very lucky (not to mention being the beneficiary of extraordinary teachers, absolutely extraordinary parents and many dear, dear friends). And I’ve moved on, to other things. I have had, after all, no choice.
The sad thing is this: what about the next generation of Native playwrights? Will they, too, one day find themselves standing on that subway platform - late, late at night, stoned, drunk out of their skulls, not a penny in their pockets, no future in sight - and those long, silvery tracks down below gleaming up at them in a manner most, most enticing?

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y aces or twos, you lose the game immediately. You also lose if you draw picture cards(J,Q,K) more than twice. In this question, you’ll study the probability of winning this game.(a) What is the probability of drawing no aces or twos after thirteen draws?(b) Given you have drawn thirteen times, none of which is aces or twos, what is the probability that you draw at most two picture cards?(c) What is the probability to win this game?
12. Suppose you are tossing an unbiased coin for100times.(a) What is the probability of getting50heads and50tails?(b) LetXbe the random variable counting the number of heads you observe in this exper-iment. What is the expected value ofX? What is the variance ofX? What is thestandard deviation ofX?
13. The following are probability distributions for two random variablesX,Y.
kPr(X=k)
0,0.4
1,0.3
2,0.3
kPr(Y=k)
0,0.5
1,0.3
2,0.2
(a) Construct the probability distribution table for the random variableXY.(b) Find E[X],E[Y] and E[XY]. Is is true that E[XY] =E[X]E[Y]?(c) Find the variances σ2X,σ2Y,σ2XY of X,Y and XY. Is it true that σ2XY=σ2Xσ2Y?
14. The aliens who are fond of gambling came back to play another game with you. In this game, you first toss a coin5times. If you observe3or fewer tails, you roll a die3times. If youobserve4or more tails, you roll a die20times. What is the probability that you end up with at most two6’s in your dice rolls?
15. (Challenge question, worth2points) You have two bags, each of which contains10marbles.Each time you remove a marble from a random bag. What is the probability that after one of the bags is emptied, there are still exactly3marbles in the other bag?

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2,3,4,7). If it lands tails, a fair six-sided die is
thrown (with values 3,4,5,6,7,9). Regardless of which die is used, Alice
eats n grains of rice, where n is the largest prime factor of the die result
(for example, the largest prime factor of 9 is 3).
(a) What is the conditional probability that the coin lands heads, given
that Alice eats three grains of rice?
(b) Suppose that the entire experiment is conducted twice on the following day (starting with a new coin toss on the second run-through).
What is the conditional probability that the coin lands heads on both
run-throughs, given that Alice eats a total of five grains of rice during the two run-throughs?
(Do not count the two grains from part (a) in part (b); we assume
two brand new experiments, each with a new coin toss. Start your
solution by defining a suitable partition of the sample space. Please
use an appropriate notation and/or justification in words, for each
value that you give as part of your solution.)
Exercise 5) Alice and Bob throw an unfair coin repeatedly, with probability 2/5 of landing heads. Alice starts with £2 and Bob starts with £3 .
Each time the unfair coin lands heads, Alice gives Bob £1 . Each time
the unfair coin lands tails, Bob gives Alice £1 . The game ends when one
player has £5 .
(a) Draw a labelled Markov chain describing the problem, and write
down a transition matrix P. Write down the communication classes,
and classify them as either recurrent or transient.
(b) Using the transition matrix, calculate the probability that Alice loses
all of her money in exactly four tosses of the unfair coin.
(c) Calculate the (total) probability that Alice loses all of her money
(before Bob loses all of his).
(d) Calculate the expected (mean) number of tosses of the unfair coin,
for the game to end.

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subgame perfect Nash equilibrium?
Question 3: In which situations should we need the mixed extension of a game?
Question 4: Find, if any, all Nash equilibria of the following famous matrix game:
L R
U (2,0) (3,3)
D (3,4) (1,2)
Question 5: What is the difference between a separating equilibrium and a pooling equilibrium
in Bayesian games?
Question 6: Give another name for, if it exists, the intersection of the players’ best-response
« functions » in a game?
Question 7: assuming we only deal with pure strategies, the Prisoner’s Dilemma is a situation
with:
No Nash equilibrium One sub-optimal Nash equilibrium
One sub-optimal dominant profile No dominant profile
Question 8: If it exists, a pure Nash equilibrium is always a profile of dominant strategies:
True False
Question 9: All games have at least one pure strategy Nash equilibrium:
True False
Question 10: If a tree game has a backward induction equilibrium then it must also be a Nash
equilibrium of all of its subgames:
Tr
2/2
Question 11: The mixed Nash equilibrium payoffs are always strictly smaller than the pure
Nash equilibrium payoffs:
True False
Question 12: Which of the following statements about dominant/dominated strategies is/are
true?
I. A dominant strategy dominates a dominated strategy in 2x2 games.
II. A dominated strategy must be dominated by a dominant strategy in all games.
III. A profile of dominant strategies must be a pure strategy Nash equilibrium.
IV. A dominated strategy must be dominated by a dominant strategy in 2x2 games.
I, II and IV only I, II and III only II and III only
I and IV only I, III and IV only I and II only
Question 13: A pure strategy Nash equilibrium is a special case of a mixed strategy Nash
equilibrium:
True False
Question 14: Consider the following 2x2 matrix game:
L R
U (3,2) (2,4)
D (-1,4) (4,3)
The number of pure and mixed Nash equilibria in the above game is:
0 1
2 3
Exercise (corresponding to questions 15 to 20 below): assume a medical doctor (M)
prescribes either drug A or drug B to a patient (P), who complies (C) or not (NC) with each of
this treatment. In case of compliance, controlled by an authority in charge of health services
quality, the physician is rewarded at a level of 1 for drug A and 2 for drug B. In case of noncompliance, the physician is « punished » at -1 level for non-compliance of the patient with
drug A and at -2 level for non-compliance with drug B. As for the compliant patient, drug A
should give him back 2 years of life saved and drug B, only 1 year of life saved. When noncompliant with drug A, the same patient wins 3 years of life (due to avoiding unexpected
allergic shock for instance), and when non-compliant with drug B, the patient loses 3 years of
life.
Question 15: You will draw the corresponding matrix of the simultaneous doctor-patient game.
Question 16: Find, if any, the profile(s) of dominant strategies of this game.
Question 17: Find, if any, the pure strategy Nash equilibrium/equilibria of this game.
Question 18: Find, if any, the mixed strategy Nash equilibrium/equilibria of this game.
Questions 19 and 20: Now the doctor prescribes first, then the patient complies or not: draw
the corresponding extensive-form game (= question 19) AND find the subgame perfect Nash
equilibrium/equilibria (=

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7.You are given a set of five and a set of seven contiguous boxes as shown in the figures above. ...

task is to move all the reds from the left to the right and all the blacks from the right to the left. The middlebox is empty to allow moves.
The moves follow strict rules.
Rule # 1: the reds can only move to the right and the blacks can only move to the left. No backward moves are allowed
Rule # 2: Equally applicable to the black and the reds, each dot can only move one step forward in the box in front of it is empty, and can skip the contiguous box is occupied by a different colored dot to the following box if empty.
While moving your pieces, carefully record all the moves you made. Start first with the 5-boxes set, then the 7-boxes set
Try the same rules for a 9-boxes set and then for an 11-boxes set. Record all your moves on paper
Examine all four cases and find a pattern that relates the number of moves to the number of dots. Explain how you arrived at this conclusion
Create a general formula that will give the number of moves based on the number of dots regardless of how many dots you have.

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Final Grade Calculator
Write a program that allows an instructor to calculate the final grade for the students in a class. Use the following menu to drive the program:
1. Enter new student information
2. Exit
When the user chooses (1) they will be prompted for the following information:
Number of Exams and the grade for each
Number of Quizzes and the grade for each
Number of Homework assignments and the grade for each
Input validation: All grades entered must be between 0 and 100.
The final grade is then calculated as follows:
Exams: 40% of final grade
Quizzes: 40%
Homework: 20%
Display the final grade for each student. The user may enter as many students as possible until they choose to quit.
Please see attached output example.
2. Upload both your algorithm and your source code.
Grading Rubric: (20 points)
Include the following in your algorithm:
Algorithm (3 points)
If statements/Loops (8 points total)
Main menu loop and if statements (4)
Input validation loop for exam, quizzes, homework grade (2)
Input validation for main menu (2)
Calculations (9 points total)
Average exams (2)
Average quizzes (2)
Average homework (2)
Final Grade (3)

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9.In Activity 1.4, we saw that when there are 4 players there will be 6 matches and when there are ...

layers, there will be 10 matches. Note also that when there are two players, there will be only 1 match and when there are 3 players, there will be 3 matches. This same principle may be applied to a room full of people shaking hands with one another. If there are 2 people, there will be 1 handshake, 3 people, 3 handshakes, and so on. If I were to tell you that if there are 6 people, there will be 15 handshakes, set up a sequence with the number of handshakes for 2, 3, 4, 5, and 6 people in the room. (2 marks)
Examine the sequence above and determine how many handshakes will take place if there are 7, 8,or 9 people in the room and each person shakes hands with every other person. (3 marks)

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chets and sells baby blankets, b. Each blanket requires 3 skeins of yarn, and the total number of skeins Facundo uses, y, varies directly as the number of blankets he crochets, b.
Write an equation that models this relationship.
2. The weight of an object, w, varies inversely as the square of its distance from the center of Earth, d. When an astronaut stands in a training center on the surface of Earth (3,960 miles from the center), she weighs 155 pounds. To the nearest tenth of a pound, what will be the approximate weight of the astronaut when she is standing on a space station, in orbit 240 miles above the training center?
3. The square of g varies inversely as h. When g = 16, h = 2. What is the value of h when g = 40?
4. The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day. If k is the constant of variation, which equation represents this situation?
5. The battery life for Bruhier’s cell phone is longer when he has fewer apps running. When only one app is running, the battery will last for 16 hours. When four apps are running, the battery will only last for 4 hours.

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etween. *
A
B
D
3. Which shows the following numbers in order from least to greatest? *
B
C
D
4. Which is the best name for this group of numbers? *
A
B
D
5. Which point on the number line best represents √3? *
A
B
C
For question 6 and 7, write each number in either scientific notation or standard notation. 6. The diameter of Mercury is 4879 kilometers. *
7. The diameter of a bacterial cell called a mycoplasma is about 2 x 10-7 meter. *
8. In which group are the numbers in order from greatest to least? *
B
C
D
9. Greg found the length of a hypotenuse of a right triangle to be √90 feet. Between which two integers does √90 lie? *
A
B
C
10. Which is the best name for this group of numbers? *
A
C
D
11. The water levels of five Texas lakes were measured on the same day in 2010. The table below shows the number of feet above or below normal level for each lake. Which list shows the numbers in the table from greatest to least? *
B
C
D
12. Which numbers from this list are less than -0.94? *
B
C
D
13. The length of a micrometer is approximately 0.00003937 inch. How would you express this in scientific notation? *
A
B
C
14. The National Park Service manages approximately 84,000,000 acres of federal land. How would you express this number using scientific notation? *
B
C
D
15. Seismosaurus is the longest known dinosaur. It measured 1800 inches. How far would 3000 Seismosaurus dinosaurs span if they were placed head to tail? Write your answer in scientific notation. *

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on a subsample of weekly data from Randall’s Supermarket, one of the biggest in the UK. Randall’s marketing management team wishes to identify trends and patterns in a sample of weekly data collected for a number of their loyalty cardholders during a 26-week period. The data includes information on the customers’ gender, age, shopping frequency per week and shopping basket price. Randall’s operates two different types of stores (convenient stores and superstores) but they also sell to customers via an online shopping platform. The collected data are from all three different types of stores. Finally, the data provides information on the consistency of the customer’s shopping basket regarding the type of products purchased. These can vary from value products, to brand as well as the supermarket’s own high-quality product series Randall’s Top. As a business analyst you are required to analyse those data, make any necessary modifications in order to determine whether for any single customer it is possible to predict the value of their shopping basket.
Randall’s marketing management team is only interested in identifying whether the spending of the potential customer will fall in one of three possible groups including:
• Low spender (shopping basket value of £25 or less)
• Medium Spender (shopping basket value between £25.01 and £70) and
• High spenders (shopping basket greater than £70)
For the purpose of your analysis you are provided with the data set Randall’s.xls. You have to decide, which method is appropriate to apply for the problem under consideration and undertake the necessary analysis. Once you have completed this analysis, write a report for the Randall’s marketing management team summarising your findings but also describing all necessary steps undertaken in the analysis. The manager is a competent business analyst himself/herself so the report can include technical terms, although you should not exceed five pages. Screenshots and supporting materials can be included in the appendix.
Requirements
After completing your analysis, you should submit a report that consists of two parts. Part A being a non-technical summary of your findings and Part B a detailed report of the analysis undertaken with more details.
Part A: A short report for the Head of Randall’s Marketing Management (20 per cent). This should briefly explain the aim of the project, a clear summary and justification of the methods considered as well as an overview of the results.
Although, the Head of Randall’s Marketing Management team who will receive this summary is a competent business analytics practitioner, the majority of the other team members have little knowledge of statistical modelling and want to know nothing about the technical and statistical underpinning of the techniques used in this analysis. This report should be no more than two sides of A4 including graphs, tables, etc. In this report you should include all the objectives of this analysis, summary of data and results as well as your recommendations (if any).
Part B: A technical report on the various stages of the analysis (80 per cent).
The analysis should be carried out using the range of analytics tools discussed:
• SPSS Statistics
Ensure that the exercise references:
• Binary and multinomial logistic regression
• Linear vs Logistic regression
• Logit Model with odds Ratio
• Co-efficients and Chi Squared
• MLR co-efficients
• Assessing usefulness of MLR model
• Interpreting a model
• Assessing over-all model fit with Psuedo R-Squared measures
• Classification accuracy (Hit Ratio)
• Wald Statistic
• Odd ratio exp(B)
• Ratio of the probability of an event happening vs not happening
• Ratio of the odds after a unit change in the predictor to the original odds
• Assumptions
• Residuals analysis
• Cook’s distance
• DfBeta
• Adequacy (with variance inflation factor VIF and tolerance statistic)
• Outliers and influential points cannot just be removed. We need to check them (typo? – unusual data?)
• Check for multicollinearity
• Parsimony
Write a short and concise report to explain the technical detail of what you have done for each step of the analysis.
The report should also cover the following information:
• Any type of analysis that might be useful and check whether the main assumptions behind the analyses do not hold or cannot be
• Give evidence of the understanding of the statistical tools that you are using. For example, comment on the model selection procedure and the coefficient interpretation, e.g. comment on the interpretation of the logistic regression coefficients if such a method is used and provide an example of
• Conclusions and explanation, in non-technical terms, of the main points

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m 2
After graduating from AUD, Salman plans to start a book publishing company in the Media City. He did some research and found that the printer will cost Dh 230,000. He estimated that the variable cost per book is Dh 170 and the selling price is Dh 390.
a. How many books must he sell to break even? Also calculate the breakeven in dirham.
b. In addition to the costs given above, if he wants to pay himself a salary of Dh 15,400 per year, what is her breakeven point in units and dirham?
c. In the first three months of his business, he sold 400 books. Suddenly the printer breaks down. He spent Dh 25000 to fix the printer. In addition to 400 books sold, how many more books she should sell to breakeven? Assume that this part of the question is independent, and she does not draw any salary.
Problem 8
A furniture store makes tables and chairs from plywood and glass. The store has 30 units of plywood, 24 units of glass. Each table requires 7 units of plywood three units of glass, whereas each chair requires three units of plywood and two units of glass. The demand for chairs is between 2 and 4. The ratio between the table and chair is at least 1 to 2. A table earns $225 in profit and a chair, $145. The store also wants a minimum profit of $5000. The store wants to determine the number of tables and chairs to make in order to maximize profit. Formulate a linear programming model for this problem

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encils and calculators. He has 72 pencils and 24 calculators and he must use all of the pencils and calculators. If Zayed creates the greatest number of identical packages possible, how many pencils will be in each package?

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ng n distinct integers in just his thoughts.
He plays turns on the list. In each turn he does the following–
He takes a number (in its index’s order ) and swap it with any number in
the list including itself i.e. if it swap it with itself it doesn’t move at all (The
selection of the number is completely random).
He does the same for all the elements in their index’s order in that turn.
If initially the list was unsorted, such that, no element was in sorted position,
then find the probability that the list is sorted after m such turns.
Note : Take the assumption that if an element is not in its sorted
position then it can be in any other n − 1 positions equally likely.

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oups were used (lawyer, physical therapist, cabinetmakers, and system analysts). The results obtained for a sample of 5 individuals from each groups. Using the "ANOVA Output" below, please answer the following questions ( Use the significance level 5%).
Q1. The value of the test statistic is ____________
QUESTION 2
Q2. The p- value of the test is _________________
QUESTION 3
Q3. At the 5% significance level, the null hypothesis is rejected if the value of the F statistics is >= _________________
QUESTION 4
Q4. Interpret the ANOVA result at the 5% significance level. Is there any difference in the job satisfaction among the four occupational groups? Answer either yes or no. Explain the reason of your answer statistically.
QUESTION 5
Data from a Trucking Company is Southern California were utilized to examine the relationship among total daily travel time (y), miles to traveled (X1), and the number of deliveries (x2). Based on the "Regression Output" below, please answer the following questions.
Q5. The number of sample used in this regression analysis is______________
QUESTION 6
Q6. What is the value of the coefficient of determination?
QUESTION 7
Q7. What is the F test statistic value for the regression model significane test?
QUESTION 8
Q8. What is the predicted travel time for X1 =95, and X2= 6?
QUESTION 9
Q9. Is X2 (number of deliveries) related to Y (travel time)? Answer either yes or no. Explain the reason of your answer statistically.
ATTACHED ARE GRAPHS

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of a product. Given the cost (in 10's $) of a toy is c=2x-1+2/x, where x is the number of quantity in 1000s. the total cost is given by C=xc. find the total cost, find the minimum cost, and lastly, if each toy can be sold for $20, at what quantity will it be given a break-even?
I don't understand this question so I hope u could explain it to me.

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18. Value: 1 equation image indicator a. (x - 2)2(x - 3)2 b. (x2+ 4)(x2+ 9) c. (x - 2)(x + ...

2)(x - 3)(x + 3)
d. (x2 - 4)(x2+ 9)
Value: 1
The table below shows the cost of purchasing a standard stapler at five office supply stores, A through E. If the median cost of purchasing a standard stapler for these stores was $17.99, which of the following could NOT have been the cost of the stapler for Store A?
staplergraph.jpg
a. $19.95
b. $18.95
c. $16.95
d. $19.25
Value: 1
If equation image indicator then x =
a. 7
b. 1/5
c. 5
d. 1/7
Value: 1
A six−sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of tossing a number less than three?
a. 1/3
b. 0
c. 1/2
d. 1/4
Value: 1
If 6m + 4 = 8m, then 4m =
a. 6
b. 2
c. 8
d. 4
Value: 1
In the xy-plane, what is the y-intercept of the graph of the equation equation image indicator?
a. 2
b. 4
c. 16
d. There is no y-intercept.
Value: 1
Which of the following equations has both 2 and −4 as solutions?
a. x2 + 6x + 8 = 0
b. x2 - 2x - 8 = 0
c. x2 + 2x - 8 = 0
d. x2 - 2x + 8 = 0
Value: 1
The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure?
a. 22
b. 28
c. 35
d. 40
Value: 1
(3x-2y4)-3 =
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
A softball is tossed into the air upward from a first floor balcony. The distance of the ball above the ground at any time is given by the function, distance function.png, where h(t) is the height of the softball above the ground (in feet) and t is the time (in seconds). What was the maximum height, in feet, of the softball above the ground after it was thrown?
a. 28
b. 30
c. 32
d. 34
Value: 1
A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each of the faculty paid $25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening?
a. 20
b. 50
c. 70
d. 80
Value: 1
The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?
a. 21
b. 15
c. 19
d. 9
Value: 1
In the xy−coordinate plane shown below, point P has coordinates (8, −6). Which of the following is an equation of the line that contains points O and P?
O and P graph.jpg
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
a. 54
b. 6
c. 2/3
d. 3/2
Value: 1
A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees planted in each row and each row must be complete before it is planted, how many trees will be left over after planting?
a. 21
b. 11
c. 0
d. 55

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is a multiple of three or greater than eight.
A certain game consist of rolling a single fair die and pays off as follows nine dollars for a six, six dollars for a five, one dollar for four and no payoffs otherwise.Find the expected winnings for this game.
A fair die is rolled four times. A 6 is considered success While all other outcomes are failures find the probability of three successes.
A pet store has nine puppies including 4 poodles 3 terriers and 2 retrievers. If Rebecca an errand in that order each select one puppy at random without replacement find the probability that Aaron select a retriever given that from last Rebecca selects a poodle.
Experience shows that a ski lodge will be for (166 guests) if there is a heavy snowfall in December, well only partially full (52 guests) With a light snowfall. What is the expected number of guests if the probability for a heavy snowfall is 0.40? I assume that heavy snowfall and light snowfall are the only two possibilities.
A pet store has six puppies Including two poodles two Terriers and to retrievers. If Rebecca and Aaron in that order each select one puppy random with replacement (They both may select the same one) Find the probability That Rebecca selects a terrier and Aaron selects a retriever.
Three married couples arrange themselves randomly in six consecutive seats in a row. Determine (A) the number of ways the following event can occur, And (B) the probability of the event. (The denominator of the probability fraction will be 6!=720, The total number of ways to arrange six items ). Each man was that immediately to the right of his wife.
A coin is tossed five times. Find the probability that all our heads. Find the probability that at least three are heads.
A certain prescription drug is known to produce undesirable facts and 35% of all patients due to drug. Among a random sample of a patient using a drug find the probability of the stated event. Exactly 5 have undesired effects.
10,000 raffle tickets are sold. One first prize of 1600, for second prizes of 800 each, And 9/3 prizes of 300 each or to be awarded with all winners selected randomly. If you purchase one ticket what are your expected winnings.
Suppose a charitable organization decides to Raise money by raffling A trip worth 500. If 3000 tickets are sold at one dollar each find the expected net winnings for a person who buys one ticket. Round to the nearest cent
Three men and seven women are waiting to be interviewed for jobs. If they are selected in random order find the probability that all men will be interviewed first
A fair diet is rolled. What is the probability of rolling on our number or a number less than three.
The pet store has 15 puppies, including five poodles, five Terriers, and five retrievers. If Rebecca and Aaron, in that order, select one puppy at random without replacement, find the probability that both select a poodle
Beth is taking a nine question multiple-choice test for which each question Has three answer choices, only one of which is correct. Beth decides on answering By rolling a fair die And making the first answer choice if the die shows one or two, The second If the die shows three or four, and the third if the die shows five or six. Find the probability of the stated event. Exactly 6 correct answers
For the experiment of drawing a single card from a standard 52 card deck find (a) the probability and (b) the odds are in favor that they do not drive six

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics