A coin has probability p of coming up heads when tossed. In n independent tosses of the

Chapter 5, Problem 5.158

(choose chapter or problem)

A coin has probability p of coming up heads when tossed. In n independent tosses of the coin, let Xi = 1 if the ith toss results in heads and Xi = 0 if the ith toss results in tails. Then Y , the number of heads in the n tosses, has a binomial distribution and can be represented as Y = n i=1 Xi . Find E(Y ) and V(Y ), using Theorem 5.12.

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