Solution Found!
Let X1,X2,X3 be three independent random variables with
Chapter 5, Problem 11E(choose chapter or problem)
QUESTION:
Let \(X_1, X_2, X_3\) be three independent random variables with binomial distributions b(4, 1/2), b(6, 1/3), and b(12, 1/6), respectively. Find
(a) \(P(X_1 = 2, X_2 = 2, X_3 = 5)\).
(b) \(E(X_1X_2X_3)\).
(c) The mean and the variance of \(Y = X_1 + X_2 + X_3\).
Questions & Answers
QUESTION:
Let \(X_1, X_2, X_3\) be three independent random variables with binomial distributions b(4, 1/2), b(6, 1/3), and b(12, 1/6), respectively. Find
(a) \(P(X_1 = 2, X_2 = 2, X_3 = 5)\).
(b) \(E(X_1X_2X_3)\).
(c) The mean and the variance of \(Y = X_1 + X_2 + X_3\).
ANSWER:Step 1 of 5
Given,
Binomial distributions b(4, 1/2), b(6, 1/3), and b(12, 1/6).