Question: 5.3. Suppose that X is a discrete random variable having the geometric distribution whose probability mass function is p(k) = p(1 - p)* for k

5.3. Suppose that X is a discrete random variable having the geometric distribution whose probability mass function is p(k) = p(1 - p)* for k = 0, 1, ....

(a) Determine the upper tail probabilities Pr{X> k} for k = 0, 1, ....

(b) Evaluate the mean via E[X] =20 Pr{X>k).

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