Question: A run is a maximal sequence of successes in a sequence of Bernoulli trials. For example, in the sequence S, S, S,F, S, S,F,F, S,

A run is a maximal sequence of successes in a sequence of Bernoulli trials. For example, in the sequence S, S, S,F, S, S,F,F, S, where S represents success and F represents failure, there are three runs consisting of three successes, two successes, and one success, respectively. Let R denote the random variable on the set of sequences of n independent Bernoulli trials that counts the number of runs in this sequence. Find E(R).

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