4. Find the expected values of ry 5. find the covariance Cov(X,Y) 6. find the correlation Cor(X,Y)
4. Find the expected values of ry 5. find the covariance Cov(X,Y) 6. find the correlation Cor(X,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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sub questions 4,5 and 6 please
Transcribed Image Text:Consider the bi-variate uniform distribution given by the joint pdf
f(x, y) = (2x +2y — 4xy)
1. Find the marginal distributions fx(x) and fy (y)
2. Find the expected values E(X) and E(Y)
3. Are X and Y independent?
4. Find the expected values of ry
5. find the covariance Cov(X,Y)
6. find the correlation Cor (X, Y)
0< x≤ 1,0 <y≤1
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