Q1-Let X and Y be two independent random variables with respectivedensity functions:(32x > 4f (x) =0.wf) = {**0 < y < 10.wFind E (XY) using the joint PDF of (X,Y) and using in view of the fact thatthe random variables X, Y are Independent, that means E (XY) =E(X)E(Y).%3D

The density function of x is fx=32x3, x>40…

Q1-Let X and Y be two independent random variables with respective density functions: (32 f (x) = {x3 x > 4 0.w f(Y) = {* 0 < y < 1 0.w Find E (XY) using the joint PDF of (X, Y) and using in view of the fact that the random variables X, Y are Independent, that means E (XY) = E(X)E(Y).

Q1-Let X and Y be two independent random variables with respective density functions: (32 f (x) = {x3 x > 4 0.w f(Y) = {* 0 < y < 1 0.w Find E (XY) using the joint PDF of (X, Y) and using in view of the fact that the random variables X, Y are Independent, that means E (XY) = E(X)E(Y).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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Q1-Let X and Y be two independent random variables with respective
density functions:
(32
x > 4
f (x) =
0.w
f) = {**
0 < y < 1
0.w
Find E (XY) using the joint PDF of (X,Y) and using in view of the fact that
the random variables X, Y are Independent, that means E (XY) =
E(X)E(Y).
%3D

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