Let the joint p.m.f p(x, y) of (X,Y) be given by the following: (a) b) Compute -1 X 0 1 P(X+Y=0) -1 1 16 3 16 0 the marginal p.m.f. of X. P(Y=-1|X=1). Y 0 16 16 3 16 1 2 16 1 16 (i) (ii) (iii) (iv) Cov(X,Y) Examine whether X and Y are independent. Explain your answer. 1 16

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Let the joint p.m.f p(x, y) of (X,Y) be given by the following:
(a)
(b)
X
-1
0
P(X+Y=0)
1
-1
1
16
3
16
0
the marginal p.m.f. of X.
P(Y=-1|X=1).
Y
0
1
16
4
16
3
16
1
2
16
16
Compute
(i)
(iii)
(iv) Cov(X,Y)
Examine whether X and Y are independent. Explain your answer.
1
16
Transcribed Image Text:Let the joint p.m.f p(x, y) of (X,Y) be given by the following: (a) (b) X -1 0 P(X+Y=0) 1 -1 1 16 3 16 0 the marginal p.m.f. of X. P(Y=-1|X=1). Y 0 1 16 4 16 3 16 1 2 16 16 Compute (i) (iii) (iv) Cov(X,Y) Examine whether X and Y are independent. Explain your answer. 1 16
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