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XY 0 1 0 0.40 0.10 1 0.10 0.10 2 0.10 0.20 a. Find Cov(4 + 2X, 32Y). b. Let Z = 3X2Y+ 2. Find

X\Y 0 1

0 0.40 0.10

1 0.10 0.10

2 0.10 0.20

a. Find Cov(4 + 2X, 32Y).

b. Let Z = 3X2Y+ 2. Find E[Z] and 2 Z.

c. Calculate the correlation coefficient between X and Y. What does this suggest about the relationship between X and Y?

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