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9. A fair coin is tossed twice. Let X and Y be random variables such that a X = 1 if the rst toss is

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9. A fair coin is tossed twice. Let X and Y be random variables such that a X = 1 if the rst toss is heads, and X = 0 otherwise. a Y = 1 if both tosses are heads, and Y = 0 otherwise Give the joint probability distribution for X and Y. solution

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