A box contains four 75Wlightbulbs, three 60Wlightbulbs, and three burned-out light bulbs. Two bulbs are selected at

Question:

A box contains four 75Wlightbulbs, three 60Wlightbulbs, and three burned-out light bulbs. Two bulbs are selected at random from the box. Let X represent the number of 75 W bulbs selected, and let Y represent the number of 60 W bulbs selected.
a. Find the joint probability mass function of X and Y.
b. Find μX.
c. Find μY.
d. Find σX.
e. Find σY.
f. Find Cov(X,Y).
g. Find ρX,Y.