The joint pmf of (X,Y) is depicted below. f(x,y) y=0 y-=1 y=2 y=3 x=0 0.02 0.05...

The joint pmf of (X,Y) is depicted below.

f(x,y)	y=0	y-=1	y=2	y=3
x=0	0.02	0.05	0.06	0.12
x=1	0.03	0.12	0.15	0.13
x=2	0.02	0.10	0.15	0.05

a.) What is the marginal pmf of X.

b.) Calculate E(X).

c.) What is the conditional pmf (probability mass function) of X given that Y = 1.

d.) Calculate E(X | Y = 1).

e.) Calculate Var(X | Y = 1).

f.) What is the cov(X,Y)? Note cov means covariance

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Expert Solution

orchestra answered 1 year ago

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