Find E[x] , P[A] , px|A(X) and E [x | A]. b) Let y=x2.Find E[y] and Var[y] .

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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1)Let x be a random variable whose probability density function (pdf) is given by:

and let A be the event {x >= 2}.

a)Find E[x] , P[A] , px|A(X) and E [x | A].
b) Let y=x2.Find E[y] and Var[y] .

Pz(X) = = {
X/4, if 1 < X <3,
0, C.C.
Transcribed Image Text:Pz(X) = = { X/4, if 1 < X <3, 0, C.C.
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