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
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
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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Transcribed Image Text:Let X be a discrete random variable with the following moment generating function:
(1/2) e
M(t) =
ofst < – In(1/2).
1 – (1/2) et
Compute the mean and the variance of X.
E(X)=1 and Var(X)=2
E(X)=1 and Var(X)=6
E(X)=1 and Var(X)=1
E(X)=1 and Var(X)=2
E(X)=2 and Var(X)=2
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