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March 31, 2015

Homework Help: Statistics Question

Posted by Jillian on Saturday, November 24, 2007 at 6:03pm.

I have two questions related to moment generating functions. I can't find any sort of examples or explanations in my book...

1) Calculate P(X<=2) if the moment generating function is given by:

Mx(t)=((1/4)+(3/4)e^t)^5

2) Suppose the moment-generating function for a random variable W is given by:

Mw(t)=(e^(-3+3e^t))*((2/3)+(1/3)e^t)^4

Calculate P(W<=1).

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