In an experiment a number cube is rolled times the number of times a shows is recorded sixty

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.

iment in which 36.6 grams of BeSO4 is needed, but the only jar of reagent in the lab is labelled beryllium sulfate tetrahydrate. How many grams of the hydrate must the student weigh out in order to get the desired amount of the anhydrous compound?

units. Chemical Equation: Write a generic chemical equation for the dehydration of cobalt (II) chloride ∙ x hydrate (include the state symbols of the reactant and two products). [T2] Mass of Reactants and Products: a) Calculate the initial mass of the hydrated cobalt (II) chloride. [T1] b) Calculate the final mass of the anhydrous cobalt (II) chloride remaining in the cruiio8icible. [T1] c) Calculate the mass of water given off by the sample of hydrated cobalt (II) chloride. [T1] Moles of Products: a) Calculate the moles of anhydrous cobalt (II) chloride remaining in the crucible. [T1] b) Calculate the moles of water released from the hydrate. {T1] 4. Mole Ratio a) Create an experimental mole ratio between the b) and a). [T1] 5. Formula of Hydrate: State the chemical formula you have determined for this hydrate. Round the formula to the closest whole number value for x. [T1] Discussion/Conclusion Questions: [T6] Based on the chemical formula of the hydrate, calculate the percentage composition (percent by mass) of the hydrated cobalt (II) chloride. Remember to determine the percentage of each element (Co, Cl, H, and O). [T2] A possible source of systematic error in this experiment is insufficient heating. Suppose that the hydrate was not completely converted to the anhydrous form. Describe how this would affect: the calculated percent by mass of water and the experimental molecular formula (i.e. would x be higher, lower or the same). Suppose a student spilled some of the hydrated cobalt (II) chloride. Describe how this would affect the calculated percent by mass of water (would it be higher, lower or the same) and the experimental chemical formula of the hydrate. [T2]

of CoCl2 . H2O. The hydrate became anhydrous through this. Suppose a student spilled some of the hydrated cobalt (II) chloride. Describe how this would affect the calculated percent by mass of water (would it be higher, lower or the same) and the experimental chemical formula of the hydrate. [T2] A possible source of systematic error in this experiment is insufficient heating. Suppose that the hydrate was not completely converted to the anhydrous form. Describe how this would affect: the calculated percent by mass of water and the experimental molecular formula (i.e. would x be higher, lower or the same).

ds the experimental probabilities of landing in each colored section of the spinner. Find the frequency of landing on a given color. 47 27 75 25 20 82 44 8

identified a rise in contacting STIs (sexually transmitted infections) among young adults and are interested in understanding why. The researchers measured several variables related to condom use including: likelihood of using condoms in the future, previous use of condoms, perceived ability for self-control in sexual relationships, and perceived risk for contracting STIs. Method This study is looking to understand why there has been a rise in sexually transmitted infections. Participants were asked to answer 4 different questions and the results were analyzed. Participants: Participants include 100 men and women ages ranging from 18-38. The mean age in this experiment is 24 years old and there is an equal amount of men and women. Name of Independent Variable(s): Provide a description of all independent (or grouping) variables, including their levels. Each variable should be described separately and the name of each new variable should be indented and underlined. Name of Dependent Variable: Provide a description of the dependent variable, including how it was operationalized. Following the description of all your variables you should clearly state (in a sentence) the research question you intend to investigate. Next, you should say something along the lines of, “This research has the following hypotheses: Ha: State the alternate hypothesis in BOTH conceptual and statistical form. H0: State the null hypothesis in BOTH conceptual and statistical form Also I need to know what analysis to complete in spss

uch of forgetfulness in human memory. The processing of new information interferes with old memories. One demonstration of interference examines the process of forgetting while subjects are asleep versus while they are awake. Because there should be less interference during sleep, there also should be less forgetting. The following data are from an experiment examining six groups of participants. All participants were given a group of words to remember. Then half of the participants went to sleep, and the others stayed awake (factor A). Within both the asleep and awake groups, one third of the participants were tested after 2 hours, one third after 4 hours, and one third after 8 hours (factor B). The experimenter recorded the number of words correctly recalled. We were given a bunch of SPSS post hoc output tables (attached). We need to draw conclusions (APA statements) from the post hoc and simple effects. I do not understand what information I am looking for.

say, comparing the differences, if any, between what you observe for cells with beads A and cells with beads B. beads A x10 objective: beads A x25 objective beads B x10 objective beads B x25 objective Question 8 [short Text answer] Marked out of 15.0 Using either your own cells with beads A or B, or the online images of the same, calculate a phagocytosis index for each treatment. Give the numbers of cells counted, numbers of beads etc and the final PI numbers as mentioned in the practical handout. Question 9 [Text answer: Up to 250 words] Marked out of 15.0 Beads A are clean beads , whereas beads B were pre-coated in surface layer of mouse immunoglobulin G (IgG). What differences might you expect (whether your experiment worked or not) upon exposing the mouse RAW 264.7 macrophages cells to these different beads. (do not give a mechanistic reason for it here, just what you might expect to happen)
 Question 10 [Text answer: up to 250 words] Marked out of 15.0 What immunological mechanism(s) might be involved in altering phagocytosis given your knowledge of the beads and cells, irrespective of whether you saw in your own experiment?

trials of the experiment are run. The table shows the frequency of any number of 5s occurring in the trials. Create a probability distribution for the discrete variable. Horizontal axis represents the probability distribution.

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