The table below shows the respective probabilities that a number of power failures will strike a certain subdivision in any given year, with mean E(X)=1.5 and variance σ2x=1.25. Find the mean and the variance of the random variable Z=5X+8.

The table below shows the respective probabilities that a number of power failures will strike a certain subdivision in any given year, with mean E(X)=1.5 and variance σ2x=1.25. Find the mean and the variance of the random variable Z=5X+8.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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The table below shows the respective probabilities that a number of power failures will strike a certain subdivision in any given year, with mean

E(X)=1.5 and variance σ²_x=1.25. Find the mean and the variance of the random variable Z=5X+8.

probability	0.2	0.4	0.1	0.3
power failures	0	1	2	3

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