QUESTION 1

Assume that your favorite football team has two games left in the season. The outcome of each game can be win, lose, or tie. What is the total number of possible outcomes?

	a.	6
	b.	12
	c.	2
	d.	9

QUESTION 2

If P(A) = 0.85, P(A) = 0.72,and P(AB) = 0.66, then P(B) =

	a.	0.53
	b.	0.15
	c.	0.28
	d.	none of the answers is correct

QUESTION 3

If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(AB) =

	a.	0.24
	b.	0.76
	c.	1.00
	d.	0.20

QUESTION 4

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(AB) =

	a.	0.8
	b.	0.10
	c.	0.2
	d.	0.15

QUESTION 5

The addition law is potentially helpful when we are interested in computing the probability of

	a.	conditional probability
	b.	the union of two events
	c.	the intersection of two events
	d.	independent events

QUESTION 6

If a penny is tossed four times and comes up "heads" all four times, what is the probability of "heads" on the fifth toss?

	a.	100%
	b.	0%
	c.	1/32
	d.	50%

QUESTION 7

An experiment consists of three steps: There are four possible results on the first step, three possible results on the second step, and two possible results on the last step. What is the total number of experimental outcomes in this experiment?

	a.	36
	b.	14
	c.	24
	d.	9

QUESTION 8

Of five letters (A, B, C, D, E), two letters are to be selected at random. How many possible selections are there if order is important?

	a.	20
	b.	10
	c.	7
	d.	5!

QUESTION 9

Of five letters (A, B, C, D, E), two letters are to be selected at random. How many possible selections are there if order is not important?

	a.	5!
	b.	10
	c.	20
	d.	7

QUESTION 10

A computer based log-in password must contain 2 letters and 3 numbers. The two letters appear in the first two spots followed by the 3 numbers. How many different passwords are possible?

	a.	468,000
	b.	625,000
	c.	676,000
	d.	492,804

QUESTION 11

An electronics firm manufactures three models of stereo receivers, two cassette decks, four speakers and three CD players. When the four types of components are sold together, they form a "system." How many different systems can the electronic firm offer?

		72
		144
		36
		18

QUESTION 12

There are two letters C and D. If repetitions such as CC are permitted, how many permutations are possible?

		0
		8
		1
		4

QUESTION 13

A builder has agreed not to erect all "look alike" homes in a new subdivision. Five exterior designs are offered to potential homebuyers. The builder has standardized three interior plans that can be incorporated in any of the five exteriors. How many different ways are the exterior and interior plans offered to potential homebuyers?

		8
		10
		30
		15

QUESTION 14

What does (6!2!) / (4!3!)equal?

		10
		36
		640
		120

QUESTION 15

When are two events mutually exclusive?

		They overlap on a Venn diagram
		If one event occurs, then the other cannot
		Probability of one affects the probability of the other
		They both happen at the same time

QUESTION 16

According to which classification or type of probability are the events equally likely?

		Subjective
		Classical
		Mutually exclusive
		Empirical

QUESTION 17

The first card selected from a standard 52-card deck was a king. If it is returned to the deck, what is the probability that a king will be drawn on the second selection?

		7.7%
		25%
		33%
		9.23%

QUESTION 18

When two or more events can occur concurrently it is called

		joint probability
		conditional probability
		venndiagram
		empirical probability

QUESTION 19

A survey of top executives revealed that 35% of them regularly read Time magazine, 20% read Newsweek and 40% read Macleans. Ten percent read both Time and Macleans. What is the probability that a particular top executive reads either Time or Macleans regularly?

		65
		85
		55
		45

QUESTION 20

When applying the rule of addition for mutually exclusive events, the joint probability is:

		0.5
		1
		unknown
		0

QUESTION 21

Based on the information in the table, answer questions 21 to 30 about 300 college students and their selected major. (All answers should be expressed as a PERCENT and to the nearestpercent - no decimal answers; for example, enter 75% or 75 and not 75.1% or 75.1)

	Chemistry (C)	Physics (P)	Biology (B)
Male (M)	90	45	75
Female (F)	30	15	45

What is the probability of selecting a male student?

QUESTION 22

What is the probability of selecting a student majoring in Physics?

What is the probability of selecting a female biology student?

QUESTION 24

What is the probability of selecting a chemistry student given that the student is male?

QUESTION 25

What is the probability of selecting a female student given that the student is majoring in physics?

QUESTION 26

What is the probability of selecting a male student or a student majoring in chemistry?

QUESTION 27

What is the probability of selecting a male student and a student majoring in chemistry?

QUESTION 28

What does P(MP) equal?

QUESTION 29

What does P(FB) equal?

QUESTION 30

What does P(M/P) equal?

QUESTION 31

Use the following table to answer questions 11 to 20.

Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross-classified into the following table:

(All answers should be expressed as a PERCENT and to the nearestpercent - no decimal answers; for example, enter 75% or 75 and not 75.1% or 75.1)

	Potential for Advancement
Sales Ability	Fair (F)	Good (G)	Excellent (E)
Below Average (B)	16	12	22
Average (A)	45	60	45
Above Average (X)	93	72	135

What is the probability that the selected salesperson has below average sales ability?

QUESTION 32

What is the probability that the selected salesperson has above average sales ability?

QUESTION 33

What is the probability that the selected salesperson has average sales ability?

QUESTION 34

What is the probability that the selected salesperson has below average sales ability or has a fair potential for advancement?

QUESTION 35

What is the probability that the selected salesperson has below average sales ability and has a fair potential for advancement?

QUESTION 36

What is the probability that the selected salesperson has a fair potential for advancement, given that they have a below average ability?

QUESTION 37

Determine P(G/X)

QUESTION 38

Determine P(X/G)

QUESTION 39

Determine P(EX)

QUESTION 40

Conduct a test of independence using good (G) potential for advancement and average (A) sales ability.

Question A: Determine P(G) =

Question B: Determine P(A) =

Question C: Determine P(AG) (observed value from the table) =

Question D: CalculateP(AG) (expected or calculated value from data in the table) =

Question E: Is Advancement dependent on sales ability? (1 for Yes; 0 for No) =