1. Suppose that the random variable X has the pdf given by T(a+B) pa-1(1 – x)ª-1 Г() f(x) = for 0 < x < 1 and 0 otherwise. Derive E(X).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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1. Suppose that the random variable X has the pdf given by
I(a+ B)
za-1(1 – x)8=1
I(B)
f(x) =
for 0 < x <1 and 0 otherwise. Derive E(X).
Transcribed Image Text:1. Suppose that the random variable X has the pdf given by I(a+ B) za-1(1 – x)8=1 I(B) f(x) = for 0 < x <1 and 0 otherwise. Derive E(X).
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