Find the marginal probability mass functions for X and Y. Find the distribution of X|Y = 0. %3D

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We consider the joint probability mass function for X and Y given by the following
table:
Y = 0 Y =1Y = 2
1
1
1
X = 0
16
1
1
1
X = 1
8
8.
16
(a)
Find the marginal probability mass functions for X and Y.
(b)
Find the distribution of X Y = 0.
Transcribed Image Text:We consider the joint probability mass function for X and Y given by the following table: Y = 0 Y =1Y = 2 1 1 1 X = 0 16 1 1 1 X = 1 8 8. 16 (a) Find the marginal probability mass functions for X and Y. (b) Find the distribution of X Y = 0.
(c)
Find the distribution of Y X = 1.
(d)
Are X and Y independent? Justify your answer.
Transcribed Image Text:(c) Find the distribution of Y X = 1. (d) Are X and Y independent? Justify your answer.
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