Let Y1 and Y2 be independent Poisson random variables with

Chapter 6, Problem 52E

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QUESTION:

Problem 52E

Let Y1 and Y2 be independent Poisson random variables with means λ1 and λ2, respectively. Find the

a probability function of Y1 + Y2.

b conditional probability function of Y1, given that Y1 + Y2 = m.

Questions & Answers

QUESTION:

Problem 52E

Let Y1 and Y2 be independent Poisson random variables with means λ1 and λ2, respectively. Find the

a probability function of Y1 + Y2.

b conditional probability function of Y1, given that Y1 + Y2 = m.

ANSWER:

Step 1 of 4

Given:

  and  are independent Poisson random variables with means   and .

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