Let (S, P) be the sample space in which S = {1, 2, 3, 4} and P is given by P(1) = 0.1,P(2) = 0.2, P(3) = 0.3, and P(4) = 0.4. Find the variance of the following randomvariables:a. X is the random variable defined by X(1) = X(2) = 1, X(3) = 2, and X(4) = 10.b. Y is the random variable defined by Y(k) = 2k (for k= 1,2,3,4).c. Z is the random variable defined by Z(k)= k² (for k=1, 2, 3, 4).

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Answered: Let (S, P) be the sample space in which…

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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