(a) Compute the conditional mass function of Y given X = 1: P(Y = 1|X = 1) =| P(Y = 2|X = 1) = P(Y = 3|X = 1) = (b) Are X and Y independent? (enter YES or NO)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The joint probability mass function of X and Y is given by
p(1, 1) = 0.35
p(1, 2) = 0.1
p(1,3) = 0.1
p(2, 1) = 0.05
p(2, 2) = 0.05
p(2, 3) = 0.1
Р(3, 1) %3D 0.1
Р(3, 2) %3D 0.1
p(3, 3) = 0.05
(a) Compute the conditional mass function of Y given X = 1: P(Y = 1|X = 1) =
P(Y = 2|X = 1) =
P(Y = 3|X = 1) =
(b) Are X and Y independent? (enter YES or NO)
Transcribed Image Text:The joint probability mass function of X and Y is given by p(1, 1) = 0.35 p(1, 2) = 0.1 p(1,3) = 0.1 p(2, 1) = 0.05 p(2, 2) = 0.05 p(2, 3) = 0.1 Р(3, 1) %3D 0.1 Р(3, 2) %3D 0.1 p(3, 3) = 0.05 (a) Compute the conditional mass function of Y given X = 1: P(Y = 1|X = 1) = P(Y = 2|X = 1) = P(Y = 3|X = 1) = (b) Are X and Y independent? (enter YES or NO)
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