Let X1 and X2 be independent Poisson random variables with respective means 1 = 2 and 2

Chapter 5, Problem 5.3-1

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Let X1 and X2 be independent Poisson random variables with respective means 1 = 2 and 2 = 3. Find (a) P(X1 = 3, X2 = 5). (b) P(X1 + X2 = 1). Hint. Note that this event can occur if and only if {X1 = 1, X2 = 0} or {X1 = 0, X2 = 1}.

Questions & Answers

QUESTION:

Let X1 and X2 be independent Poisson random variables with respective means 1 = 2 and 2 = 3. Find (a) P(X1 = 3, X2 = 5). (b) P(X1 + X2 = 1). Hint. Note that this event can occur if and only if {X1 = 1, X2 = 0} or {X1 = 0, X2 = 1}.

ANSWER:

Step 1 of 3

Given data

Both are poisson distribution:

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back