Functions of Random Variables Test

Unit Test #66

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:

 

W is a discrete random variable with a probability distribution function shown in the table.

W
3
4
5
P(W = w)
0.2
0.6
0.2

What is E(W)?

A. 0.6

B. 3

C. 4

D. 5

Answer 1:

 

 

Q2:

 

 From above, what is E(2W + 3)

A. 3

B. 4.2

C. 9

D. 11

Answer 2:

 

 

Q3:

 

 From question 1, find VAR(W).

A. 16.4

B. 16

C. 0.4

D. 0.16

Answer 3:

 

 

Q4:

 

Use the answer to question 3 to find VAR(3W - 4)

A. 3.6

B. 1.2

C. 12.96

D. 44

Answer 4:

 

 

Q5:

 

If E(X) = 7, what is E(6 + 2X)?

A. 8

B. 6

C. 14

D. 20

Answer 5: