Let X1 and X2 be independent random variables with respective binomial distributions

Chapter 5, Problem 5.3-2

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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(X1 = 2, X2 = 4). (b) P(X1 + X2 = 7).

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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(X1 = 2, X2 = 4). (b) P(X1 + X2 = 7).

ANSWER:

Step 1 of 3

Given:  and  are independent random variables with

Definition binomial probability:

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