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1641统计中等derivationmedium

MLE of a Geometric Success Probability

题目

A strategy is repeatedly tried until the first profitable fill. Let XX be the number of attempts until the first success, with support 1,2,1,2,\ldots, and model XGeometric(p)X\sim \mathrm{Geometric}(p).

If the sample mean from many independent episodes is 44, find the MLE of pp. Under the fitted model, what is the probability that at least 4 attempts are needed?

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你的答案

MLE of p

P(X >= 4)