Question

In: Statistics and Probability

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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