Answered: Let X1 and X2 be independent random…

Let X1 and X2 be independent random variables with respective binomial distributions b(3,1/2) and b(5,1/2). Determine (a) P(0.5 < X1 < 1 and 0.4 < X2 < 0.8) (b) E((X1)^2(X2)^3)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Let X1 and X2 be independent random variables with respective binomial distributions b(3,1/2) and b(5,1/2). Determine

(a) P(0.5 < X1 < 1 and 0.4 < X2 < 0.8)

(b) E((X1)^2(X2)^3)

Expert Solution

Step 1: Given information

The provided information is as follows:
The $straight X subscript 1$ and $straight X subscript 2$ are two independent variables.
The $straight X subscript 1$ follows binomial distribution is $straight b open parentheses 3 comma 1 half close parentheses$ .
The $straight X subscript 2$ follows binomial distribution is $straight b open parentheses 5 comma 1 half close parentheses$

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