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