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) = 1.3 and variance o=1.01. Find the mean and the variance of the random variable Z=7X+2. probability power failures 0.3 0 0.2 1 0.4 2 0.1 3

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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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) = 1.3 and variance o=1.01. Find the mean and the variance of the random variable
Z=7X+2.
probability 0.3
power failures 0
0.2
1
0.4
2
E(Z) = (Type an integer or a decimal. Do not round.)
0.1
3
O
Transcribed Image Text: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) = 1.3 and variance o=1.01. Find the mean and the variance of the random variable Z=7X+2. probability 0.3 power failures 0 0.2 1 0.4 2 E(Z) = (Type an integer or a decimal. Do not round.) 0.1 3 O
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