If a discrete random variable Y has the following moment generating function: m, (t)= 0.09 + 0.17e' +0.4e²' +0.2e³ + 0.07e" + 0.05e' + 0.02e“ a. Give the probability mass function of Y in table form. b. Find P(Y 2 3). c. Find the mean and variance of Y.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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If a discrete random variable Y has the following moment generating function:
m, (t)= 0.09 + 0.17e' + 0.4e" +0.2eª + 0.07e + 0.05e' + 0.02e“
a. Give the probability mass function of Y in table form.
b. Find P(Y > 3).
c. Find the mean and variance of Y.
Transcribed Image Text:If a discrete random variable Y has the following moment generating function: m, (t)= 0.09 + 0.17e' + 0.4e" +0.2eª + 0.07e + 0.05e' + 0.02e“ a. Give the probability mass function of Y in table form. b. Find P(Y > 3). c. Find the mean and variance of Y.
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