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Consider the following joint PMF of random variables X and Y: X/Y 1 2 1 1/30 4/30 2 2/30 8/30 3 3/30 12/30 Find the

Consider the following joint PMF of random variables X and Y:

X/Y 1 2
1 1/30 4/30
2 2/30 8/30
3 3/30 12/30

Find the following:

a.) EX

b.) The marginal distribution X

c.) The conditional distribution P(X|Y = 1)

d.) The conditional distribution P(X|Y = 2)

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