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**DINOCALC09** Suppose that the number of chocolate chips in a cookie follows the poisson random variable with lambda=4.

What is the probability that a package of 9 cookies will have exactly 36 chips?

So I know that lambda is the mean so each cookie should have 4 chips on it which seems to correspond with the factg that 36/9 = 4 also.

Does the mean change when you have more cookies?

How would you set this problem up. I assume it will have something to do with:

Pr = e^(neg lambda) * (lambda^y)/(y!)

Thanks in advance.