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...
icon
Related questions
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

steps

Step by step

Solved in 6 steps with 28 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON