Given the Rayleigh random variable with density function -(x-a)² b show that the mean πb 4 E[X]=a+, 2 f(x) = ²/(x − a) - b u(x − a)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Given the Rayleigh random variable with density function
-(x-a)²
b
show that the mean
πb
4
E[X]=a+
ƒ(x) = 2²/(x − a)
-
b
u(x − a)
Transcribed Image Text:Given the Rayleigh random variable with density function -(x-a)² b show that the mean πb 4 E[X]=a+ ƒ(x) = 2²/(x − a) - b u(x − a)
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