Solution Found!
Let X1, X2, X3 be three independent random variables with binomial distributions b(4
Chapter 5, Problem 5.3-11(choose chapter or problem)
QUESTION:
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.
Questions & Answers
QUESTION:
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.
ANSWER:Step 1 of 4
Given that,
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.