For every a, 0 > 0. i) Derive the expected value of X. i) Derive the variance of X.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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The density function of a certain random variable X is given by
1
f(x) = {B(a,0)
xa-1(1 – x)®-1
,if 0 < x < 1
0,
elsewhere
For every a, 0 > 0.
i)
Derive the expected value of X.
ii)
Derive the variance of X.
Transcribed Image Text:The density function of a certain random variable X is given by 1 f(x) = {B(a,0) xa-1(1 – x)®-1 ,if 0 < x < 1 0, elsewhere For every a, 0 > 0. i) Derive the expected value of X. ii) Derive the variance of X.
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