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)= 1.9 and variance o=0.89. Find the mean and the variance of the random variable Z=2X+5. probability power failures 0.1 0 0.2 1 0.4 2 E(Z) = 8.8 (Type an integer or a decimal. Do not round.) o2 = 3.56 (Type an integer or a decimal. Do not round.) 0.3 3
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)= 1.9 and variance o=0.89. Find the mean and the variance of the random variable Z=2X+5. probability power failures 0.1 0 0.2 1 0.4 2 E(Z) = 8.8 (Type an integer or a decimal. Do not round.) o2 = 3.56 (Type an integer or a decimal. Do not round.) 0.3 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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)= 1.9 and variance o=0.89. Find the mean and the variance of the random variable
Z=2X+5.
probability
power failures
0.1
0
0.2
1
0.4
2
E(Z) = 8.8 (Type an integer or a decimal. Do not round.)
o2 = 3.56 (Type an integer or a decimal. Do not round.)
0.3
3
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