A single observation of a random variable X with a geometric distribution results in X k Find the MLE of the probability of success if (i) X is the number of failures preceding the first success (ii) X is the number of trials up to and including the first success

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Question: A single observation of a random variable X with a geometric distribution results in X = k. Find the MLE of the probability of success

A single observation of a random variable X with a geometric distribution results in X = k. Find the MLE of the probability of success θ if: (i) X is the number of failures preceding the first success. (ii) X is the number of trials up to and including the first success.

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