Suppose that Y1 and Y2 are independent Poisson distributed random variables with means 1
Chapter 5, Problem 5.39(choose chapter or problem)
Suppose that Y1 and Y2 are independent Poisson distributed random variables with means 1 and 2, respectively. Let W = Y1 + Y2. In Chapter 6 you will show that W has a Poisson distribution with mean 1 + 2. Use this result to show that the conditional distribution of Y1, given that W = w, is a binomial distribution with n = w and p = 1/(1 + 2). 1
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer