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Let Y have a Poisson distribution with mean ?. Find E[Y (Y
Chapter 3, Problem 138E(choose chapter or problem)
QUESTION:
Problem 138E
Let Y have a Poisson distribution with mean λ. Find E[Y (Y − 1)] and then use this to show that V (Y ) = λ.
Questions & Answers
QUESTION:
Problem 138E
Let Y have a Poisson distribution with mean λ. Find E[Y (Y − 1)] and then use this to show that V (Y ) = λ.
ANSWER:
Solution:
Step 1 of 3:
It is given that Y is a Poisson random variable with mean . Then
P(Y=y)=
We have to find the value of E(Y(Y-1)) and then we have to show that V(Y)=.