Refer to Exercise 1.
a. Find the marginal probability mass function pX(x).
b. Find the marginal probability mass function pY(y).
c. Find 
.
d. Find 
.
e. Find 
.
f. Find
.
g. Find Cov(X, Y).
h. Find
.
i. Are X and Yindependent? Explain.
(a) The marginal probability mass function 
is found by summing along the rows of the joint probability mass function.
= 0 if x?0, 1, or 2
(b)The marginal probability mass function pY(y) is found by summing down the columns of the joint probability mass function. So 
(c) 
(d) 
(e) 
(f) 
(g) 
(h) 
(i) No. The joint probability density function is not equal to the product of the marginals. For example, P(X = 0 and Y = 0) = 0.10, but P(X = 0)P(Y = 0) = (0.26)(0.33) = 0.0858.
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