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The joint probability mass function of X and Y is given by p(1,1) = 0.05 p(1,2) = 0.1 p(1,3) = 0.05 p(2, 1) = 0.1 p(2, 2) = 0.25 p(2,3) = 0.1 p(3, 1) = 0.05 p(3, 2) = 0.1 p(3,3) = 0.2 (a) Compute the conditional mass function of Y given X = 2: P(Y = 1|X = 2) = %3D P(Y = 2|X = 2) = P(Y = 3|X = 2) = %3D (b) Are X and Y independent? (enter YES or NO) (c) Compute the following probabilities: P(X+Y > 3) = P(XY = 3) = P(주 > 2) =|

The joint probability mass function of X and Y is given by p(1,1) = 0.05 p(1,2) = 0.1 p(1,3) = 0.05 p(2, 1) = 0.1 p(2, 2) = 0.25 p(2,3) = 0.1 p(3, 1) = 0.05 p(3, 2) = 0.1 p(3,3) = 0.2 (a) Compute the conditional mass function of Y given X = 2: P(Y = 1|X = 2) = %3D P(Y = 2|X = 2) = P(Y = 3|X = 2) = %3D (b) Are X and Y independent? (enter YES or NO) (c) Compute the following probabilities: P(X+Y > 3) = P(XY = 3) = P(주 > 2) =|

A First Course in Probability (10th Edition)
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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The joint probability mass function of X and Y is given by p(1, 1) = 0.05 p(1,2) = 0.1 p(1,3) = 0.05 p(2, 1) = 0.1 P(2, 2) = 0.25 p(2,3) = 0.1 p(3, 1) = 0.05 p(3,2) = 0.1 p(3,3) = 0.2 (a) Compute the conditional mass function of Y given X = 2: P(Y = 1|X = 2) = P(Y = 2|X = 2) = P(Y = 3|X = 2) = (b) Are X and Y independent? (enter YES or NO) (c) Compute the following probabilities: P(X +Y > 3) = P(XY = 3) = P(주 > 2) =D
Transcribed Image Text:The joint probability mass function of X and Y is given by p(1, 1) = 0.05 p(1,2) = 0.1 p(1,3) = 0.05 p(2, 1) = 0.1 P(2, 2) = 0.25 p(2,3) = 0.1 p(3, 1) = 0.05 p(3,2) = 0.1 p(3,3) = 0.2 (a) Compute the conditional mass function of Y given X = 2: P(Y = 1|X = 2) = P(Y = 2|X = 2) = P(Y = 3|X = 2) = (b) Are X and Y independent? (enter YES or NO) (c) Compute the following probabilities: P(X +Y > 3) = P(XY = 3) = P(주 > 2) =D
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