Suppose the joint PMF of the random variables X and Y is P(X= x, Y = y) = a(x+y) if(x, y) = {1,2,3} × {2,3,4} 0 Otherwise. 1. Find the value of a. 2. Find the value of the covariance Corr(X, Y). (a, Corr(X, Y)) = 1/45,-2/73

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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How were the correct answers of 1/45 and -2/73 attained?

Suppose the joint PMF of the random variables X and Y is
P(X = x, Y = y) = a(x+y)
0
1. Find the value of a.
2. Find the value of the covariance Corr(X, Y).
(a, Corr(X, Y)) = 1/45,-2/73
if(x, y) = {1,2,3} × {2,3,4},
Otherwise.
Transcribed Image Text:Suppose the joint PMF of the random variables X and Y is P(X = x, Y = y) = a(x+y) 0 1. Find the value of a. 2. Find the value of the covariance Corr(X, Y). (a, Corr(X, Y)) = 1/45,-2/73 if(x, y) = {1,2,3} × {2,3,4}, Otherwise.
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