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 | 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