What value would be needed to complete the following probability distribution?
x P(x)
0 1/3
1 1/8
2 1/8
3
4 1/
(choice)
a. 1/5
b. 1/12
c. 1/4
d. 1/8

2. If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. The cost to play the game is $5. What is the expectation of this game? (choice)
a. $3.06
b. -$2.78
c. -$3.06
d. 2.78

3. A coin is tossed five times. Find the probability of getting exactly three heads. (choice)
a. 0.3750
b. 0.1563
c. 0.2500
d. 0.3125

4. Find the mean of the distribution shown.
x 0 3 5
P(x) 0.26 0.48 0.26
(choice)
a. 1.30
b. 2.00
c. 2.74
d. 3.00

5. A university has 10,000 students of which 4000 are male and 6000 are female. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male students. (Choice)
a. Mean = 15, Variance = 15
b. Mean = 12, Variance = 7.2
c. Mean = 9, Variance = 3.6
d. Mean = 7.2, Variance = 12

6. The staff at a small company includes: 4 secretaries, 20 technicians, 4 engineers, 2 executives, and 50 factory workers. If a person is selected at random, what is the probability that he or she is a factory worker? (Choice)
a. 14
b. 18
c. 58
d. 25

7. If a single card is drawn from an ordinary deck of cards, what is the probability of drawing either a heart or a 6? (Choice)
a. 1752
b. 413
c. 926
d. 513

8. Fizz fizz soda comes in two varieties, regular and diet. If a researcher has 8 boxes of each, how many ways can he select 2 boxes of each for a quality control test? (Choice)
a. 784
b. 224
c. 447
d. 16

9. A certain system has two components. There are 10 different models of the first component and 12 different of the second. Any first component can be paired with any second component. A salesman must select 2 of the first component and 3 of the second to take on a sales call. How many different sets of components can the salesman take? (Choice)
a. 10C2 x 12C3
b. 10C5 x 12C5
c. 10P2 x 12P3
d. 10P5 x 12P5

10. If a menu has a choice of 4 appetizers, 4 main courses, and 3 desserts, then the sample space for all possible dinners has how many outcomes? (Points: 1)
a. 3
b. 16
c. 28
d. 48