Is the Moment Generating Function Solution Correct?

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Homework Help Overview

The discussion revolves around finding the moment generating function (mgf) for a given probability density function defined as 2/25*(5-y) for 0

Discussion Character

  • Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants are comparing their results for the mgf, questioning the correctness of their denominators and whether they have correctly applied the formula. There is an ongoing dialogue about the potential errors in their calculations.

Discussion Status

The discussion is active, with participants correcting each other’s work and clarifying their understanding of the denominator involved in the mgf calculation. There is no explicit consensus yet, as different interpretations of the denominator are being explored.

Contextual Notes

Participants are working under the constraints of homework rules, which may limit the information they can share or the methods they can use. There is an acknowledgment of potential mistakes in the calculations that are being discussed.

boneill3
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Homework Statement



Find the mgf of 2/25*(5-y) fo 0<y<5

Homework Equations



M(t) = INT e^yt f(y)dy

The Attempt at a Solution



= (2*(e^(5t)-5t-1))/25t

Is this ok
 
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I got a different denominator. One of us is wrong, probably me?
 
Sorry my mistake I forgot to square the denomiator Is this better?

= (2*(e^(5t)-5t-1))/(25t)^2
regards
Brendan
 
25 shouldn't be squared.
 
Oops
= (2*(e^(5t)-5t-1))/25t^2
Brendan
 

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