quiz4 - STA 4321/5325 Spring 2010 Quiz 4 February 19 Name...

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Unformatted text preview: STA 4321/5325 - Spring 2010 Quiz 4 - February 19 Name: There are five problems in this quiz. Each problem has exactly one correct answer. Problem 1 A Bernoulli experiment has (a) 1 outcome (b) 2 outcomes (c) 3 outcomes (d) 4 outcomes Problem 2 If X is a binomial random variable with parameters n and p (i.e., X is the number of successes in n repetitions (independent) of a Bernoulli trial with success probability p), then (a) E (X ) = n (b) E (X ) = p (c) E (X ) = p n (d) E (X ) = np Problem 3 Let X denote a random variable that has a binomial distribution with p = n = 3. Then (a) P (X = 1) = 1 2 (b) P (X = 1) = 1 8 (c) P (X = 1) = 3 8 (d) P (X = 1) = 1 4 1 1 2 and Problem 4 Let X be the number of failures before observing the first success in successive repetitions (independent) of a Bernoulli trial. Then (a) X is a Bernoulli random variable. (b) X is a binomial random variable. (c) X − 1 is a geometric random variable. (d) X is a geometric random variable. Problem 5 If X is a geometric random variable with parameter p (i.e., the probability of success of the associated Bernoulli trial is p), then (a) P (X = 1) = 1 − p (b) P (X = 1) = p (c) P (X = 1) = (1 − p)p (d) P (X = 1) = (1 − p)p2 2 ...
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This note was uploaded on 06/05/2011 for the course STA 4321 taught by Professor Staff during the Spring '08 term at University of Florida.

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quiz4 - STA 4321/5325 Spring 2010 Quiz 4 February 19 Name...

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