A+ Answers 2023 Business Finance

2023 Question 1 Use the table below to determine whether we can be 95 or

Question 1

Use the table below to determine whether we can be 95% or 99% confident that there is significant

linear correlation between x and y.

(5, 6), (7, 8), (9, 10), (11 11),(12, 13)

Question 2

Consider the genetic possibilities for a child of parents who are both carriers of sickle cell anemia. What

is the probability that the child will be a carrier of sickle cell anemia? (Solve using a Punnett sqaure)

Question 3

Assume that five cards are being drawn from a standard 52-card deck. How many ways can we construct

a full house poker hand? (A full house consists of three cards of one rank and two of another.)

a. 720

b. 72

c. 3744

d. 1872

Using the digits 3, 4, 5, 6, 7, 8, and 9, how many 5-digit numbers can be constructed if the number must

begin with an odd digit and digits may not be repeated?

a. 360

b. 1464

c. 1440

Question 5

State what kind of correlation, if any, the scatterplot indicate

a. negative correlation

b. significant negative correlation

c. positive correlation

d. no correlation

Question 6

This double-bar graph shows the number of male (M) and female (F) athletes at a university over a four-

year period. Which year had the greatest number of female athletes?

Question 7

A box contains 26 blue marbles, 16 green marbles, and 8 red marbles. Two marbles are selected at

random without replacement. Let E be the event that the first marble selected is green. Let F be the

event that the second marble selected is green. Find P(F|E) .

Question 8

A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. List the

sample space of picking a blue card followed by a green card.

a {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4)}

b {(3, 4)}

c {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (4, 3)}

d {(1, 2, 3, 4)}

Question 9

Find the probability If P(A ∪ B) = 0.62, P(A) = 0.34, and P(B) = 0.47, find P(A n B).

a 0.15

b 0.6

c 0.31

d 0.19

Question 11

If two fair dice are rolled, what is the probability that a total of three shows?

Question 12

A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds for the cube

showing an odd number?

Question 13

If a card is selected randomly from a standard 52-card deck, what is the probability that we draw a five?

Question 14

Find the standard deviation for the following set of data: 110, 145, 129, 196, 156, 133, 100, 108, 203.

(Round to one more place than the data)

a 17.8

b 35.0

c 39.7

d 37.1

Question 15

Construct a box-and-whisker plot for the given data.

The test scores of 32 students are listed below.

32 37 41 44 46 48 53 55

57 57 59 63 65 66 68 69

70 71 74 74 75 77 78 79

81 82 83 86 89 92 95 99

Question 16

How many different three-digit numbers can you form using the digits 1, 2, 3, 5, 6, 7, and 9 without

repetition?

a 340

b 160

c 210

d 35

Question 17

How many five-card hands chosen from a standard deck contain two spades and three hearts?

a 267,696

b 9295

c 19,960

d 22,308

Question 18

How many branches are required in a tree diagram showing how many ways three dice could be rolled?

a 186

b 216

c 18

d 228

Question 19

Evaluate the expression C(7, 1)

a 3.5

b 5040

c 7

d 1440

Question 20

Find the standard deviation. (Round to one more place than the data)

17, 12, 18, 19, 19, 12, 10, 7, 11

a 4.4

b 4.7

c 1.7

d 4.2

Question 21

48% of the area under the standard normal curve is above the score. Use a table to find a z-score that

fits the given conditions. Interpolate if necessary.

a 0.16

b 0.05

c 0.09

d 2.05

Question 22

Suppose that the mean salary in a particular profession is $45,000 with a standard deviation of $2,000.

To what percentile does a salary of $48,000 correspond?

a 93rd

b 91st

c 43rd

d 41st

Question 23

Assume that a distribution has a mean of 24 and a standard deviation of 6. What percentage of the

values in the distribution do we expect to fall below 12? Assume that the given distribution is normal.

a 17%

b 5%

c 2.5%

d 25%

Question 24

How many license plates are possible consisting of 4 letters followed by 4 digits, if the first letter must

be a C?

a 175,759,900

b 175,760,000

c 175,760,840

d 4.56976e+09

Question 25

State what kind of correlation, if any, the scatterplot indicates.

a significant positive correlation

b positive correlation

c no correlation

d significant negative correlation

Question 26

Find the range for the following set of data: 2.6, 5.4, 1.8, 4.7, 6.3, 3.9

a 5.4

b 4.5

c 1.8

d 1.3

Question 27

Evaluate the expression P(6, 1)

a 3

b 720

c 240

d 6

Question 28

Assume that a distribution has a mean of 23 and a standard deviation of 6. What percentage of the

values in the distribution do we expect to fall between 23 and 35? Assume that the given distribution is

normal.

a 5%

b 47.5%

c 25%

d 95%

Question 29

On a math test, the scores of 24 students were as follows: 98 72 73 61 73 73 95 89 73 66 87 72 72 87 73

72 87 73 72 89 72 87 89 61

a

b

Question 30

Find the mean, median, and mode for the given distribution of 8, 6, 5, 3, 12, 8, 8, 6, 3, 12, 8, 5, 15, 3, 8,

8, 5, 6, 3, 8

a Mean = 7, median = 8, mode = 8

b Mean = 7, median = 6, mode = 8

c Mean = 7.5, median = 6, mode = 15

d Mean = 7, median = 7, mode = 8

Question 31

For a school project, Sue interviewed a total of 100 persons who were either lawyers or salesmen. She

asked them if they were happy or unhappy with their occupation. Of the 55 lawyers interviewed, 12

were unhappy, however, only 7 of the salesmen were unhappy. Suppose that one of the persons

interviewed is selected at random. Find the probability that the person selected is happy.

a 0.81

b 0.78

c 0.88

d 0.84

Question 32

The table lists blood types in a sample of hospital patients. Construct a bar graph for the relative

frequency data.

Question 33

If nine fair coins are tossed, what is the probability of obtaining at least one head and at least one tail?

(Use the complement formula)

a

b

c 1

d

Question 34

A law firm has eight male and six female lawyers. A committee of five, two male lawyers and three

female lawyers, is to be chosen to represent the firm at a conference. How many committees are

possible?

a 560

b 6720

c 3555

d 1560

Question 35

Evaluate the expression

.

a 10

b 1

c 45

d 720

Question 36

A survey revealed that 45% of people are entertained by reading books, 25% by watching TV, and 14%

are entertained by both books and TV. What is the probability that a person will be entertained by

books given that the person is entertained by TV? Give results to the nearest tenth of a percent.

a 0.25

b 0. 45

c 0.560

d 0.311

Question 37

We roll a pair of dice. If the sum of the dice is 7, you pay me $25. If the sum is not 7, I pay you the

number of dollars indicated by the sum of the dice. What is your expected value for the game?

a -$1.67

b $1.67

c -$8.33

d $8.33

Question 38

The following table relates the grades in an advanced mathematics course to the student’s year in

college:

Let E be the event that the student received a grade of B. Let F be the event that the student is a

sophomore. Find P(F|E).

Question 39

The office manager at an accounting firm counted the number of employees that were in the coffee

room each hour during the work week. The results are summarized in the following bar graph. Find the

mean and standard deviation of the given data. Round to the nearest tenth, if necessary.

a Mean = 3.8, standard deviation = 1.9

b Mean = 3.4, standard deviation = 1.9

c Mean = 3.8, standard deviation = 2.6

d Mean = 3.4, standard deviation = 2.6

Question 40

The frequency setting for a garage door opener is determined by the positions of nine switches, each of

which can be set to a “+” or “-” position. In how many ways can the switches be set?

a 632 ways

b 81 ways

c 512 ways

d 19,683 ways

Question 41

The ages of people randomly surveyed on a college campus are summarized in the bar graph. How many

people were 24 years old?

a 4

b 1

c 6

d 2

Question 42

The following data gives the number of applicants that applied for a job at a given company each month

of 1999: 63, 72, 69, 75, 83, 77, 80, 85, 82, 69, 66, 63. What is the median of the data? (Rounded to the

nearest hundredth)

a 75

b 73.5

c 72

d There is no median.

Question 43

How many different two-digit numbers can you form using the digits 1, 2, 3, 5, 6, 7, and 9 with repetition

allowed?

a 42

b 36

c 49

d 26

Question 44

Evaluate the expression

.

a 20

b 5

c

d 2!

Question 45

A student is taking a standardized test consisting of multiple choice questions for which there are five

options for each question. Four points are awarded for each correct answer, but the student loses 2

points for an incorrect answer. Questions left blank neither receive nor lose points. What is the

minimum number of options that the student should be able to rule out before making a guess on any

particular question?

a None

b One

c Two

d Three

Question 46

Use a table to find the percentage of the area under the standard normal curve between the values: z =

0 and z = 1.12 (Round your answer to the nearest tenth)

a 38.9%

b 36.4%

c 34.6%

d 36.9%

Question 47

Calculate the linear correlation coefficient for the following values: (2, 11),(2, 6),(10, 6),(18, 2)

a 0.83

b 0.81

c -0.83

d -0.81

Question 48

Professor Kafka teaches an advanced probability class with an enrollment of 11 students. The front row

has 9 chairs. A particular student, Carl, must sit in the front row between his tutor, Sue, and his best

friend, Pat. In how many different ways can Professor Kafka assign students to sit in the first row?

a 40,320

b 282,240

c 141,120

d 20,160

Question 49 Students in Mr. Mason’s classes collected items from different countries. The data show how many of

each item one class collected. Construct a bar graph for the frequency data.

Stamps, 9

Postcards, 11

Coins, 7

Books, 13

a

b

Collected Items from Foreign Countries

Collected Items from Foreign Countries

Question 50

The odds in favor of a horse winning a race are posted as 4:3. Find the probability that the horse will

lose the race.

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