Question: In a piston assembly, the specifications for the clearance between piston rings and the cylinder wall are very tight. In a lot of assemblies, let X be the number with too little clearance and let Y be the number with too much clearance. The joint probability mass function of X and Y is given in the table below:
a. Find the marginal probability mass function of X.
b. Find the marginal probability mass function of Y .
c. Are X and Y independent? Explain.
d. Find µX and µY .
e. Find sX and sY .
f. Find Cov(X, Y ).
g. Find ?(X, Y ).