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Problem 4) Five coins are flipped. The first four coins will land on heads with probability...

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Basic Math

Problem 4) Five coins are flipped. The first four coins willland on heads with probability 1/4. The fifth coin is a fair coin.Assume that the results of the flips are independent. Let X be thetotal number of heads that result.

(hint: Condition on the last flip).

a) Find P(X=2)

b) Determine E[X]

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