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If each number in a set of data is multiplied by how does it affect the mean median and the mode

 
 

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1.Part I. Reaction Paper Read and understand the text below. Follow outline in writing your reaction paper at least 250-750 ...

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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2.​What is true about sample preparation for NMR? a. Samples for 13C NMR should be concentrated, and for 1H NMR should ...

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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3.Hi, Is the article below non-fiction or creative non-fiction? What makes it either of these titles? Rose By: Tomson Highway Should ...

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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4.11. In a game, you draw thirteen cards with replacement from a deck of playing cards. If you draw any ...

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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5.Exercise 4) A fair coin is tossed. If it lands heads, a fair four-sided die is thrown (with values 2,3,4,7). If ...

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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6.Question 1: What is a player’s « reaction function » in a Bertrand game ? Question 2: What is a subgame ...

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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8.1. Complete an algorithm, code and compile the following program. Save the program as finalgrade.py. Final Grade Calculator Write a program that ...

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

mathematicsalgebra Physics