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Suppose we toss a coin where P(Head) = p. The random variable Y is defined by if Head Y if Tail Depending on the outcome of the coin, we draw X in the following way: if Y = y, we draw X from N(y, 1). Now answer the following questions. Write the answers in terms of & (cdf of N(0, 1)), $ (pdf of N (0, 1)), and p. (a) (4pt) Explain why P(X