Connie tosses a fair coin three times. If X = X1 - X2, where X1 counts the

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Connie tosses a fair coin three times. If X = X1 - X2, where X1 counts the number of heads that result and X2 counts the number of tails that result, determine
(a) The probability distributions for X1, X2, and X.
(b) The means E(X1), E(X2), and E(X).
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