Let the random variables X and Y have the joint x+ y f(x, y) = x = 1, 2, y = 1, 2, 3, 4. %3D %3D 32 and ur the yariances o2 and o, th means 1

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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4.2-1

144 Chapter 4 Bivariate Distributions
Exercises
4.2-1. Let the random variables X and Y have the joint
pmf
x+y
f(x, y) =
32
x = 1, 2, y =
1,2, 3, 4.
Find the means µx and uy, the variances o and o, the
covariance Cov(X, Y), and the correlation coefficient p.
Are X and Y independent or dependent?
4.2-2. Let X and Y have the joint pmf defined by
f(0, 0) = f(1, 2) = 0.2, f(0, 1) = f(1, 1) = 0.3.
3D0.2,
%3D
Transcribed Image Text:144 Chapter 4 Bivariate Distributions Exercises 4.2-1. Let the random variables X and Y have the joint pmf x+y f(x, y) = 32 x = 1, 2, y = 1,2, 3, 4. Find the means µx and uy, the variances o and o, the covariance Cov(X, Y), and the correlation coefficient p. Are X and Y independent or dependent? 4.2-2. Let X and Y have the joint pmf defined by f(0, 0) = f(1, 2) = 0.2, f(0, 1) = f(1, 1) = 0.3. 3D0.2, %3D
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