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

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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