Question 1(5 points)

A lot of 10 components contains 3 that are defective. Two components are drawn at random and tested. LetAbe the event that that the first component drawn is defective, andBbe the event that the second component drawn is defective.

a.FindP(A).

b.FindP(B|A).

c.FindP(AandB).

d.AreAandBindependent?

Question 1 options:

a.0.3000

b.0.3333

c.0.1000

d.No

a.0.3333

b.0.1250

c.0.1000

d.Yes

a.0.3000

b.0.2222

c.0.0667

d.Yes

a.0.3000

b.0.2222

c.0.0667

d.No

Question 2(5 points)

A 12-sided die can be made from a geometric solid called a

Question 2 options:

1/3

1/4

1/12

7/12

Question 3(5 points)

On a recent Saturday, a total of 1,087 people visited a local library. Of these people, 249 were under age 10, 479 were aged 10-18, 180 were aged 19-30, and the rest were more than 30 years old.

One person is sampled at random. What is the probability that the person is less than 19 years old?

Question 3 options:

0.67

0.229

0.441

0.728

Question 4(5 points)

What is the correct relationship between events A and B?

A: Laura participated in an out-of-town volleyball game at 11:00AM last Friday.

B: Laura met with her academic advisor on campus at 11:00AM last Friday.

Question 4 options:

A and B are mutually exclusive.

A and B are complementary.

A and B are not mutually exclusive.

If B is true, A is true.

Question 5(5 points)

IfP(A)=0.57,P(B)=0.35, andAandBare mutually exclusive, findP(AorB).

Question 5 options:

0.46

0

0.22

0.92

Question 6(5 points)

A section of an exam contains two multiple-choice questions, each with three answer choices (listed "A", "B", and "C"). Assuming the outcomes to be equally likely, find the probability (as a reduced fraction) that at least one answer is "A". [Hint: List all the outcomes of the sample space first.]

Question 6 options:

5/9

7/9

2/3

1/3

Question 7(5 points)

So far this season, the university's football team has executed 151 running plays, 152 passing plays, and 18 "trick" plays. What is the probability that the team willnotexecute a trick play?

Question 7 options:

0.059

0.941

0.944

0.056

Question 8(5 points)

A fair die is rolled two times. What is the probability that both rolls are 3?

Question 8 options:

0.0046

0.028

0.083

0.167

Question 9(5 points)

Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked.

List the outcomes of the sample space.

Question 9 options:

{LLL, UUU}

{LLU, LUL, ULL, UUL, ULL, LUU}

{LLL, LLU, LUL, LUU, ULL, ULU, UUL, UUU}

None of these.

Question 10(5 points)

A poll was taken of 14,360 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results were as follows.

Total7,3337,02714,360

A person is selected at random. Compute the probability that the person is male or has a Ph.D.

Question 10 options:

0.511

0.518

0.514

0.007

Question 11(5 points)

On a TV game show, a contestant is shown 11 products from a grocery store and is asked to choose the three least-expensive items in the set. The three chosen items need not be in any particular order. In how many ways can the contestant choose the three items?

Question 11 options:

6

165

6,652,800

990

Question 12(5 points)

Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked.

LetCbe the event that at least two doors are unlocked. List the outcomes ofC. [Let "L"designate "locked" and "U" designate "unlocked".]

Question 12 options:

{LLL, LLU, LUL, LUU, ULL, ULU, UUL, UUU}

{UUU, LUU, ULU, UUL}

{LLU, LUL, ULL, LUU, ULU, UUL}

None of these.

Question 13(5 points)

IfP(A)=0.69,P(B)=0.4, andP(AorB)=0.73, areAandBmutually exclusive?

Question 13 options:

No

Yes

Question 14(5 points)

A fast-food restaurant chain has 622 outlets in the United States. The following table categorizes them by city population and location and presents the number of outlets in each category. An outlet is chosen at random from the 622 to test market a new menu.

Given that the outlet is located in the West (either SW or NW), what is the probability that itin a city with population 50,000-500,000?

Question 14 options:

0.703

0.138

0.238

0.327

Question 15(5 points)

A coin is tossed 764 times and comes up heads 397 times. Use the Empirical Method to approximate the probability that the coin comes up heads.

Question 15 options:

0.342

0.5

0.52

0.48

Question 16(5 points)

The arrow on the spinner shown below can be spun so that the arrowhead eventually stops in one of the three sectors labeled "A", "B", or "C". The spinner is spun 109 times and comes up "A" 56 times. Use the Empirical Rule to approximate the probability that the spinner comes up "A".

Question 16 options:

0.514

0.5

0.339

0.486

Question 17(5 points)

A committee consists of 10 women and 7 men. Three members are chosen as officers. What is the probability that all three officers are women?

Question 17 options:

0.03392

0.1765

0.0515

0.2035

Question 18(5 points)

The numbers 1 through 7 are written in separate slips of paper, and the slips are placed into a box. Then, 4 of these slips are drawn at random.

What is the probability that the drawn slips are "1", "2", "3", and "4", in that order?

Question 18 options:

0.68568

0.00119

0.02857

0.02856

Question 19(5 points)

Assume a soldier is selected at random from the Army. Determine whether the events A andare independent, mutually exclusive, or neither.

A: The soldier is a colonel.

B: The soldier is a lieutenant.

Question 19 options:

neither

independent

mutually exclusive

Question 20(5 points)

So far this season, the university's football team has executed 146 running plays, 167 passing plays, and 22 "trick" plays. What is the probability that the team will execute a passing play?

Question 20 options:

a)0.534

b)0.499

c)0.501

d)0.436