Question: 3.14. Suppose that a random variable Z has the geometric distribution Pz(k) = p(1 - p)k for k = 0, 1, ... , where p

3.14. Suppose that a random variable Z has the geometric distribution Pz(k) = p(1 - p)k for k = 0, 1, ... , where p = 0.10.

(a) Evaluate the mean and variance of Z.

(b) What is the probability that Z strictly exceeds 10?

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