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}.

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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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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