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consider the following joint Distribution: X -101 ---|---------------------------- 1|00.20 | Y 2|0.300.3 | 3|00.20 a)Find E(X) b)Find P(X | Y=3), the conditional distribution of X

consider the following joint Distribution:

X

-101

---|----------------------------

1|00.20

|

Y 2|0.300.3

|

3|00.20

a)Find E(X)

b)Find P(X | Y=3), the conditional distribution of X given that Y=3.

c)Find the marginal distribution of Y

d)Are X and Y independent?Justify your answer

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