Variable X is given by a Normal Random variable with mean 4 and variance 9. Variable Y is given by a Uniform Random variable over the segment from 2 to 4. Variable Z is the sum of the roll of two fair dice. (HINT: assume that the Expected value of a product of independent random variable can be separated into the product of the expected value of each variable)
a) Evaluate E[X + Y + Z]
b) Evaluate E[2XY + Z2]
c) Evaluate Var[2XY + Z2]