# Thread: Finding probability from Moment Generating Functions

1. ## Finding probability from Moment Generating Functions

I am stuck on part 3 of this question.

I am given the following moment generating function mx(t) e^(4e^t-4)

1) identify the distribution and parameters.

I have found that it is a Poisson distribution with alpha =4.

2) Determine the mean and variance:
Although i didn't need to do so with this problem, i went ahead and found the first moment and second moment got E[X]=4 and V[X]=4

3) Determine Pr(X>3) This is the part that i am stuck on. Not sure how to proceed. Do i integrate? and if so what do i integrate and what are the limits? Thank you.

2. ## Re: Finding probability from Moment Generating Functions

You've identified the distribution. Forget about the moment generating function. What is Pr(X>3)?

3. ## Re: Finding probability from Moment Generating Functions

The poisson distribution is discrete so there is nothing to integrate. Try to find the complement of P(X>3).

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