Q3// let X and Y have the joint probability distribution function as : . (x, y) (1,1) (1,2) (1,3) (2,1) (2,2) (2,3) p(x,y) 2/15 4/15 3/15 1/15 1/15 4/15 and p(x, y) is equal to zero elsewhere.

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Chapter1: Combinatorial Analysis
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Q3// let X and Y have the joint probability distribution function as :.
(x, y)
(1,1)
(1,2)
(1,3)
(2,1)
(2,2)
(2,3)
p(x,y)
2/15
4/15
3/15
1/15
1/15
4/15
and p(x, y) is equal to zero elsewhere.
a. Find the means u , µz, the variance o?, o , and the correlation coefficients p , then describe the
relation between x and y.
b. Compute µ2 + p(°?/o,)(x – 41)
Transcribed Image Text:Q3// let X and Y have the joint probability distribution function as :. (x, y) (1,1) (1,2) (1,3) (2,1) (2,2) (2,3) p(x,y) 2/15 4/15 3/15 1/15 1/15 4/15 and p(x, y) is equal to zero elsewhere. a. Find the means u , µz, the variance o?, o , and the correlation coefficients p , then describe the relation between x and y. b. Compute µ2 + p(°?/o,)(x – 41)
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