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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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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