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6. (1) Suppose that we flip a coin with P(H) = p and P(T) = 1 - p. Let X be the number of

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6. (1) Suppose that we flip a coin with P(H) = p and P(T) = 1 - p. Let X be the number of flips until the first head. Find the probability distribution function fx (k) = P(X = k), k 1, and its expectation E[X].

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