Question 5

Consider the the following random variables with associated properties:

Random Variable Expectation Variance

20

10

-15

3

W

Y

Z~ Binom (20,0.6)

Assume the random variables are independent.

1. Let X = W-Z, determine E(X) and V(X).

2. Let X = 10-4Y+2Z-5W, determine E(X) and V(X).

3. Let X=Y² +22², determine E(X).