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Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 5.3 - Problem 2e
Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 5.3 - Problem 2e

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# Let X1 and X2 be independent random variables with

ISBN: 9780321923271 41

## Solution for problem 2E Chapter 5.3

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

Step 3 of 3

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