1. A player may choose even or odd for a computer game. The computer will then generate two numbers between zero and fiv

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1. A player may choose even or odd for a computer game. The computer will then generate two numbers between zero and five at random, then sum the numbers together. If the play guesses correctly they win the game; if the player guesses incorrectly the computer wins the game. If the sum is zero the game is conisdered a draw. (a) Create a pobability distribution for the game. Let 3 be the out comes of the game and P(+) be the probability of those out comes. (b) Is this a fair game? (Hint: Consider the probabilities of even and odd outcomes) (c) Assume this game can be played for $1. If the player wins they will be awarded $5. If the player loses then they will not be given a prize. If the game is a draw then the player is awarded $1. What is the expect value of playing this game?

a 3. In a clinical trial, a certain drug is administered to curb withdrawl effects. In the trial, 30.84% of the patients experienced chest pains as a side effect. A sample of 40 patients is gathered. (a) What is the probability that exactly 12 patients suffered side effects? (b) What is the probability that more than 20 of the patients suffered side effects? (c) Would it be unsual for 20 of the patients to suffer side effects?

7. A meat packing plant supplies the nation with premium steaks. (a) How large of a sample is required to estimate the mean weight of steaks, assuming you 0.05. want a margin of error within 0.005 and confidence of 99%? Assume s = (b) Suppose you take a sample equal in size to the above question, and it yields a mean weight of 12 ounces. Construct a 99% confidence interval for the mean weight of steaks.