Let X be a discrete random variable with the following moment generating function:(1/2) eM(t) =ofst < – In(1/2).1 – (1/2) etCompute the mean and the variance of X.E(X)=1 and Var(X)=2E(X)=1 and Var(X)=6E(X)=1 and Var(X)=1E(X)=1 and Var(X)=2E(X)=2 and Var(X)=2

Solution: From the given information, the moment generating function is

Answered: Let X be a discrete random variable…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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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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Let X be a discrete random variable with the following moment generating function: (1/2) e' M(t) - 1 – (1/2) et » t < – In(1/2). Compute the mean and the variance of X. E(X)=1 and Var(X)=2 E(X)=1 and Var(X)=6 O E(X)=1 and Var(X)=1 O E(X)=1 and Var(X)=2 E(X)=2 and Var(X)=2