I'm in a mathematical statistics class and it is spanking me. Please help.(adsbygoogle = window.adsbygoogle || []).push({});

I have two questions that will really help me understand things if I get a nice explanation.

1. A random variable Y has the following probability function p(y) = y[tex]^{2}[/tex]/15 for y = 1, 2, 3. Findthe moment generating function for Y.

What this problem requires is the integration of m(t) = E[e^ty] = [tex]\int[/tex] e[tex]^{ty}[/tex]y[tex]^{2}[/tex]/15dy integrated from 1 to 3.

I used integration by parts but succeeded in getting something very large and ugly.

The second question is along the same lines:

2. Let Y be a random variable with [tex]\mu[/tex][tex]^{'}_{k}[/tex]=[1 + 2[tex]^{k+1}[/tex] + 3[tex]^{k+1}[/tex]]/6

I need to inegrate m(t) = E[e[tex]^{ty}[/tex]] = [tex]\int[/tex][tex]e^{ty}[/tex][1 + 2[tex]^{k+1}[/tex] + 3[tex]^{k+1}[/tex]]/6 dy from 0 to infinity finding the first four terms and indicating the sum continues.

Anyone?

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# Homework Help: Nasty Integrals

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