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1. You toss a fair coin. Then, if the coin shows a Head, you roll a fair die twice; if the coin shows 3. Tail,

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1. You toss a fair coin. Then, if the coin shows a Head, you roll a fair die twice; if the coin shows 3. Tail, you roll the die three times. Let Y be the total number of sixes. (a) What are the possible values Y can take? (b) Determine the probability mass function of Y. (c) Calculate lE(Y] and Var(Y)

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