a) Find the marginal pdf's of X1 and X2 b) Are X1 and X2 independent? Why or why not? c) Find P(X1 < X2)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Let X1 and X2 be discrete random variables with joint pdf given by the following
table:
X2
1
2
3
1
1
1
12
2
1
X1
3
1
2
18
4
15
a) Find the marginal pdf's of X, and X2
b) Are X, and X2 independent? Why or why not?
c) Find P(X1 < X2)
Transcribed Image Text:Let X1 and X2 be discrete random variables with joint pdf given by the following table: X2 1 2 3 1 1 1 12 2 1 X1 3 1 2 18 4 15 a) Find the marginal pdf's of X, and X2 b) Are X, and X2 independent? Why or why not? c) Find P(X1 < X2)
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