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).
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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Transcribed Image Text: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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