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Let x and y be two continuous random variables whose function is the probability density joint is given by: a)Find the conditional pdf of x given that y = Y,px|y(X|Y): b)Calculate E[x|y = Y], to 0<=Y<=1. c)Calculate Var [ x|y = Y], to 0 <= Y <=

Let x and y be two continuous random variables whose function is the probability density joint is given by: a)Find the conditional pdf of x given that y = Y,px|y(X|Y): b)Calculate E[x|y = Y], to 0<=Y<=1. c)Calculate Var [ x|y = Y], to 0 <= Y <=

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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1)Let x and y be two continuous random variables whose function is the probability density joint is given by:

a)Find the conditional pdf of x given that y = Y,px|y(X|Y):
b)Calculate E[x|y = Y], to 0<=Y<=1.
c)Calculate Var [ x|y = Y], to 0 <= Y <= 1.

Pry (X,Y)= { 6XY, 0≤x≤ 1,0 ≤ y ≤ √X 0, caso contrário.
Transcribed Image Text:Pry (X,Y)= { 6XY, 0≤x≤ 1,0 ≤ y ≤ √X 0, caso contrário.
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