STA4321samplequiz3

STA4321samplequiz3 - X denote the number of men in the 100...

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STA 4321/5325 Spring 2012 Sample Quiz 3 February 12 Name: All problems have exactly one correct answer. Problem 1 Let X be a Bernoulli random variable corresponding to a two-outcome exper- iment with success probability p . Then (a) P ( X = 1) = p . (b) P ( X = 0) = p . (c) P ( X > 1) = 1 p . (d) P ( X 1) = 1 p . Problem 2 Let p X denote the probability mass function of a discrete random variable X . The range of possible values that X takes is f 1 ; 2 ; 3 ; 4 ; 5 ; 6 ; 7 ; 8 ; 9 ; 10 g (each value is taken with strictly positive probability). It is always true that (a) P 9 x =1 p X ( x ) = 1. (b) P 9 x =1 p X ( x ) < 1. (c) P 9 x =1 p X ( x ) = 9 10 . (d) P 9 x =1 p X ( x ) > 7 10 . Problem 3 Consider a random experiment which consists of choosing a sample of 100 people from a crowd gathered for a musical concert. Let

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Unformatted text preview: X denote the number of men in the 100 chosen people. Then X is a discrete random variable. This statement is (a) True. (b) False. 1 Problem 4 Consider an experiment which consists of tossing a fair coin. Let X be the corresponding Bernoulli random variable. Then (a) V ( X ) = 1. (b) V ( X ) = 7. (c) V ( X ) = 0 : 25. (d) V ( X ) = 7 : 6. Problem 5 The range of a random variable is the set of possible values of the random variable. This statement is (a) True. (b) False. 2...
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