a2 - MATH 1131 3.0 Fall 2011 Assignment 2(Due Date(hand in...

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MATH 1131 3.0 - Fall 2011 Assignment 2 (Due Date: Oct 19, 2011) (hand in all questions) Question 1: Suppose that in a weekly lottery you have probability .02 of winning a prize with a single ticket and that you buy 1 ticket per week for 52 weeks. a. What is the probability that you win no prizes? b. What is the probability that you win 3 or more prizes? c. What is the mean and standard deviation of the number of prizes you win? Question 2: An appliance dealer sells three diﬀerent models for upright freezers have 13.5, 15.9, and 19.1 cubic feet of storage space, respectively. Let X = the amount of storage space purchased by the next customer to buy a freezer. Suppose that X has the following probability distribution: X 13.5 15.9 19.1 P ( X = x ) .2 .5 .3 a. Find the mean and standard deviation of X. b. If the price of the freezer depends on the size of the storage space, X, such that Price = 25 X - 8 . 5, what is the mean and standard deviation of the variable Price paid by the next customer? Question 3:

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a2 - MATH 1131 3.0 Fall 2011 Assignment 2(Due Date(hand in...

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