Sums and Differences of Normally Distributed Variables Test

Unit Test #67

Select your answers to the following 5 questions from the pop-up menus in the right hand column. Clicking the "Begin Test Again" button will clear all the answers.

 

 

Q1:

 

X and Y are independent random variables with:
E(X) = 15 and E(Y) = 10
VAR(X) = 4 and VAR(Y) = 7

What is E(X + Y)?

A. 5
B. 3
C. 25
D. 125 

Answer 1:

 

 

Q2:

 

In question 1, what is E(X - Y)? A. 5
B. 3
C. 25
D. 125 

Answer 2:

 

 

Q3:

 

In question 1, what is VAR(X - Y)?

A. -3
B. 3
C. 11
D. 25

Answer 3:

 

 

Q4:

 

In question 1, what is E(3X - 2Y)?

A. -3
B. 3
C. 11
D. 25

Answer 4:

 

 

Q5:

 

.

In question 1, what is SD(3X + 2Y)?

A. 25
B. 8
C. 64
D. 646

Answer 5: