a. Find P(X = 2 ,Y<2) b. Find marginal PMF of X and Y 1 2 3 C. Find P(Y=2 |X= 1) 1/6 0 25 0 125

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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1. Consider two random variables X and Y with joint PMF given in the table
a.
Find P(X = 2, Y <2)
b.
Find marginal PMF of X and Y
1
2
3
c.
Find P(Y=2 |X=1)
1
1/6
0.25
0.125
d. Are X and Y independent|
2
0.125
1/6
1/6
Transcribed Image Text:1. Consider two random variables X and Y with joint PMF given in the table a. Find P(X = 2, Y <2) b. Find marginal PMF of X and Y 1 2 3 c. Find P(Y=2 |X=1) 1 1/6 0.25 0.125 d. Are X and Y independent| 2 0.125 1/6 1/6
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