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Let X and Y be two continuous random variables with joint probability density 3x function given by: f(x,y)= 0

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Let X and Y be two continuous random variables with joint probability density
[3x
function given by: f(x,y)=
0<ysrsl
elsewhere
3
with E(X) =, E(X²)=², E(Y)=?. E(Y') =-and E(XY)=
3
E(Y') =and E(XY) =-
10
5'
8
Then the value of the variance of 2.X + Y is:
O 3/80
O 91/320
O 43/320
O 7/20

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