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Independent Trials

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Suppose a sequence of independent trials is performed where each trial results in either success or failure. Suppose X=the number of failures before the first success, with p=probability of success on any one trial.

(a) Find the expected value of X. Be sure to show in detail how you got your answer.

(b) Carefully interpret the result in (a)

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The solution addresses the fact that one supposes a sequence of independent trials is performed where each trial results in either success or failure. Suppose X=the number of failures before the first success, with p=probability of success on any one trial.

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