The scaling factor k must be such that the total probability is one. Therefore, we have k = 1/36. The table shows one instance where x + y >5, which is x = 3, y = 3. The probability is p = 9/36 = 1/4.
|
x × y
|
x =1 2 3
|
|
Y=1
|
123
|
|
=2
|
246
|
|
=3
|
369
|
Suppose that A and B are random variables, each follows a standard normal distribution, and the covariance between A and B is 0.35. What is the variance of (3A+ 2B)?
A. 14.47
B. 17.20
C. 9.20
D. 15.10