Question: 14.9. (a) A procedure is performed until a particular event A occurs for the first time. On each repetition P(A) = p. Suppose that n

14.9.

(a) A procedure is performed until a particular event A occurs for the first time. On each repetition P(A) = p. Suppose that n repetitions are required. Then this ex- periment is repeated, and this time n2 repetitions are required to yield the event A. If this is done k times, we obtain the sample n1,..., n. Based on this sample, obtain the ML estimate of p.

(b) Suppose that k is quite large. Find the approximate value of E(p) and V(p), where is the ML estimate obtained in (a).

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