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Independent trials, each of which is a success with probability p, are successively performed. Let X...

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Statistics

Independent trials, each of which is a success with probabilityp, are successively performed. Let X denote the first trialresulting in a success. That is, X will equal k if the first k −1trials are all failures and the kth a success. X is called aGeometric random variable (google it). Determine the momentgenerating function of X.

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Independent trials each of which is a success withprobability p are successively performedSo probability of failure is 1pLet X denote the first    See Answer
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