Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows:
a. Find the marginal probability mass function 
.
b. Find the marginal probability mass function
.
c. Find 
.
d. Find 
.
e. Find 
.
f. Find 
.
g. Find Cov(X, Y).
h. Find 
.
(a) The marginal probability mass function 
is found by summing along the rows of the joint probability mass function.
(b) 
(c) 
(d) 
(e) 
(f) 
(g) 
(h) 
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