Question: In the preceding problem let Mk = E[X]. Derive a recursive equation for Mk and then solve. Hint: Start by writing Xk = Xk1 +Ak1,k

In the preceding problem let Mk = E[X]. Derive a recursive equation for Mk and then solve.

Hint: Start by writing Xk = Xk−1 +Ak−1,k , where Xi is the total number of successes attained up to the first time there have been i consecutive successes, and Ak−1,k is the additional number of successes after there have been k − 1 successes in a row until there have been k successes in a row.

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