Let X1,X2,X3 be three independent random variables with binomial distributions b(4, 1/2), b(6, 1/3), and b(12, 1/6), respectively. Find
(a) P(X1 = 2,X2 = 2,X3 = 5).
(b) E(X1X2X3).
(c) The mean and the variance of Y = X1 + X2 + X3.
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