Answered: Let Y be a random variable with the mgf…

Let Y be a random variable with the mgf M(t) = .35e^(−4t) + .1 + .25e^(2t) + .3e^(4t). (a) What is the pmf of Y? (b) Calculate the variance of Y directly from the pmf y

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Let Y be a random variable with the mgf
M(t) = .35e^(−4t) + .1 + .25e^(2t) + .3e^(4t).
(a) What is the pmf of Y?
(b) Calculate the variance of Y directly from the pmf you determined in part (a).
(c) Calculate E[Y^4] directly from the mgf.

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