Q3// let X and Y have the joint probability distribution function as : . (x, y) (1,1) (1,2) (1,3) p(x, y) 2/15 4/15 3/15 and p(x, y) is equal to zero elsewhere. (2,1) 1/15 b. Compute µ₂ +p(0²/₁)(x −μ₂) - (2,2) 1/15 (2,3) 4/15 a. Find the means M₁, M₂, the variance of, o2, and the correlation coefficients p, then describe the relation between x and y.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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Q3// let X and Y have the joint probability distribution function as : .
(x, y)
(1,1)
(1,2)
(1,3)
p(x,y)
2/15
4/15
3/15
and p(x, y) is equal to zero elsewhere.
(2,1)
1/15
(2,2)
1/15
(2,3)
4/15
a. Find the means μ₁, ₂, the variance of, o2, and the correlation coefficients p, then describe the
relation between x and y.
b. Compute μ₂ + p(0²/0₁)(x-μ₁)
Transcribed Image Text:Q3// let X and Y have the joint probability distribution function as : . (x, y) (1,1) (1,2) (1,3) p(x,y) 2/15 4/15 3/15 and p(x, y) is equal to zero elsewhere. (2,1) 1/15 (2,2) 1/15 (2,3) 4/15 a. Find the means μ₁, ₂, the variance of, o2, and the correlation coefficients p, then describe the relation between x and y. b. Compute μ₂ + p(0²/0₁)(x-μ₁)
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