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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?

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?

A First Course in Probability (10th Edition)
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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subquestions 1,2 and 3 please

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