quiz4 - p = 0 : 5. Then (a) P ( X = 0) = 0 : 25. (b) P ( X...

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STA 4321/5325 Quiz 4 Fall 2010 October 8 Name: All problems have exactly one correct answer. Problem 1 Consider an experiment which consists of tossing a fair coin until you get 3 heads. Let X be the random variable denoting the number of tails observed until the experiment stops. Then (a) E [ X ] = 1. (b) E [ X ] = 2. (c) E [ X ] = 3. (d) E [ X ] = 1 2 . Problem 2 Let X be a Poisson random variable with expected value 3. Then (a) V ( X ) = 1. (b) V ( X ) = 2. (c) V ( X ) = 3. (d) V ( X ) = 1 2 . Problem 3 Let X be a negative binomial random variable with parameters r = 2 and
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Unformatted text preview: p = 0 : 5. Then (a) P ( X = 0) = 0 : 25. (b) P ( X = 0) = 0 : 5. (c) P ( X = 0) = 1. (d) P ( X = 0) = 0 : 45. Problem 4 Let X be a Poisson random variable with expected value 7. Then (a) P ( X = 0) = 1 4 . (b) P ( X = 0) = 2 7 . (c) P ( X = 0) = e 7 . (d) P ( X = 0) = 1 8 . Problem 5 The geometric random variable is a special case of the negative binomial random variable with number of successes r = 1. This statement is (a) True. (b) False....
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quiz4 - p = 0 : 5. Then (a) P ( X = 0) = 0 : 25. (b) P ( X...

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