Probability Generating Functions

bobcat89

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Oct 5, 2014
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Qn: If a discrete random variable X has PGF GX(t) =e(0.12t+0.02t^2+0.07t^3 -0.21). What is the P(x=3)?

Now i know that GX(t) = summation ( tx . P(X=x)) and that Pk = p(x=k) which is the coefficient of tk in GX(t).

But in this case my PGF is an exponential. How should i go about it?
 
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