5.44. The joint probability mass function of X and Y is given by p(1, 1) = .9, p(2, 1) = .03, p(1,2)= .04 p(2,2)= .03 (a) Compute the conditional mass function of X given Yi.i= 1.2. [(b) Are X and Y independent? (c) Compute P{X - Y = 0}, P{X + Y ≤ 3}, and P{ \ ≤ 1}.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.1: Continuous Probability Models
Problem 28E
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6.44. The joint probability mass function of X and Y is
given by
p(1, 1) = .9,
p(2, 1) = .03,
p(1,2)= .04
p(2,2)= .03
(a) Compute the conditional mass function of X given
Y = i, i = 1,2.
(b) Are X and Y independent?
(c) Compute P{X - Y = 0}, P{X + Y ≤3}, and P{\ ≤ 1}.
Transcribed Image Text:6.44. The joint probability mass function of X and Y is given by p(1, 1) = .9, p(2, 1) = .03, p(1,2)= .04 p(2,2)= .03 (a) Compute the conditional mass function of X given Y = i, i = 1,2. (b) Are X and Y independent? (c) Compute P{X - Y = 0}, P{X + Y ≤3}, and P{\ ≤ 1}.
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