Question: . Let be a random variable distributed on [0, 1] with mean and variance 2 . Given = p, we toss a p-coin for n

.

Let be a random variable distributed on [0, 1] with mean and variance 2.

Given = p, we toss a p-coin for n times. Let S be the total number of heads obtained.

Compute the expectation and the variance of S.

(Please simplify and factor your answers as much as possible.)

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