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Let X1 and X2 be independent random variables with

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 2E Chapter 5.3

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 2E

Problem 2E

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

(a) P(X1 = 2,X2 = 4).

(b) P(X1 + X2 = 7).

Step-by-Step Solution:

Problem 2E

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

(a) P( = 2,  = 4).

(b) P( +  = 7).

                                                              Step by Step Solution

Step 1 of 3

It is given that X1 and X2 are independent events with binomial distribution b (3, 1/2) and b (5, 1/2).

Apply the binomial distribution, to find the probability.

(a) The probability of

                     

   Substitute the values of probability of X equals 2 and 4.

   

Thus, the probability of, 0.05859.

Step 2 of 3

Chapter 5.3, Problem 2E is Solved
Step 3 of 3

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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Let X1 and X2 be independent random variables with