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# quiz3 - repetitions(independent of a Bernoulli trial Then(a...

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STA 4321/5325 Quiz 3 Fall 2010 October 1 Name: All problems have exactly one correct answer. Problem 1 A Bernoulli experiment has (a) 2 outcomes. (b) 1 outcome. (c) 4 outcomes. (d) 3 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 prob- ability p ), then (a) E [ X ] = p . (b) E [ X ] = n . (c) E [ X ] = np . (d) E [ X ] = p n . Problem 3 The Bernoulli random variable is a special case of the binomial random variable with parameter n = 1. This statement is (a) True. (b) False. Problem 4 Let X be the number of failures before observing the ±rst success in successive

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Unformatted text preview: repetitions (independent) of a Bernoulli trial. Then (a) X is a binomial random variable. (b) X is a geometric random variable. (c) X ± 1 is a binomial random variable. (d) X is a Bernoulli 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 ) p . (b) P ( X = 1) = p . (c) P ( X = 1) = p 2 . (d) P ( X = 1) = 1 ± p ....
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quiz3 - repetitions(independent of a Bernoulli trial Then(a...

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