Compute the distribution of X+Y in the following cases:X and Y are independent Poisson random variables with means respective \lambda_{1} and \lambda_{2}.

Albarellak

Albarellak

Answered question

2021-06-03

Compute the distribution of X+Y in the following cases:
X and Y are independent Poisson random variables with means respective λ1andλ2.

Answer & Explanation

davonliefI

davonliefI

Skilled2021-06-04Added 79 answers

XP(λ1)
XP(λ2)
X and Y are independent
P(λ1)+P(λ2)P(λ1+λ2)
So,
X+Y follows poisson distribution.
(X+Y)P(λ1+λ2)

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?