Question: 13.3. Suppose that X has a geometric distribution with parameter p. Let X1,..., Xn be a random sample from Xand let M = max (X1,...,
13.3. Suppose that X has a geometric distribution with parameter p. Let X1,..., Xn be a random sample from Xand let M = max (X1,..., X) and K = min (X1,..., Xn). Find the probability distribution of M and of K. [Hint: P(Mm) = F(m) - F(m - 1), where F is the cdf of M.]
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