Suppose that N, the number of flips made of a coin that comes up heads with probability
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Suppose that N, the number of flips made of a coin that comes up heads with probability p, is a geometric random variable with parameter α, independent of the results of the flips. Let A be the event that all flips land heads.
(a) Find P(A) by conditioning on N.
(b) Find P(A) by conditioning on the result of the first flip.
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