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Please show work and answer, thank you! Problem 1 (12 points): A fair coin is tossed 4 times. Let X be the random variable defined

Please show work and answer, thank you!

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Problem 1 (12 points): A fair coin is tossed 4 times. Let X be the random variable defined as the number of heads obtained minus the number of tails. Let Y be the indicator random variable of the event that the first 3 tosses are tails. (a) Plot the probability mass functions of X and Y. (b) Plot the probability distribution functions of X and Y

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