1.A local restaurant is committed to providing its patr.docx

1.
A local restaurant is committed to providing its patrons with the
best dining experience possible. On a recent survey, the
restaurant asked patrons to rate the quality of their entrées. The
responses ranged from 1 to 5, where 1 indicated a disappointing
entrée and 5 indicated an exceptional entrée.
The results of the survey are as follows:
2 5 1 5 1 5 4 3 3 3 1 2
1 2 2 3 1 4 4 1 2 3 1 1
4 5 1 1 1 3 1 2 1 4 2 2
PictureClick here for the Excel Data File
a.
Construct frequency and relative frequency distributions that
summarize the survey’s results. (Do not round intermediate
calculations. Round "relative frequency" to 3 decimal places.)

Rating Frequency Relative
Frequency
5
4
3
2
1
Total
b.
Are patrons generally satisfied with the quality of their entrées?
No
Yes
rev: 07_05_2013_QC_32367, 03_04_2014_QC_44527
2.
Consider the following data set:
1 10 5 6 8 8 10 12 15 12
8 11 8 4 3 9 12 3 10 8
8 12 4 4 4 12 10 6 11 6
7 -6 31 16 -3 9 13 6 5 -4
29 -3 5 3 24 24 10 23 32 2
-5 -4 -2 14 -2 35 26 10 18 28

5 3 -6 7 28 36 16 3 -4 5
a-1. Construct a frequency distribution using classes of −10 up
to 0, 0 up to 10, etc.
Classes Frequency
–10 up to 0
0 up to 10
10 up to 20
20 up to 30
30 up to 40
Total
a-2. How many of the observations are at least 10 but less than
20?
Number of observations
b-1.
Construct a relative frequency distribution and a cumulative
relative frequency distribution. (Round "relative frequency" and
"cumulative relative frequency" to 3 decimal places.)
Class Relative
Frequency Cumulative
Relative Frequency
–10 up to 0
0 up to 10
10 up to 20
20 up to 30
30 up to 40
Total

b-2.
What percent of the observations are at least 10 but less than
20? (Round your answer to 1 decimal place.)
Percent of observations %
b-3. What percent of the observations are less than 20? (Round
your answer to 1 decimal place.)
Percent of observations %
c. Is the distribution symmetric? If not, then how is it
skewed?
Not symmetric, skewed to right
Symmetric or Skewed to left
rev: 07_05_2013_QC_32367
3.
Assume that X is a binomial random variable with n = 16 and p
= 0.66. Calculate the following probabilities. (Round your
intermediate and final answers to 4 decimal places.)
a. P(X = 15)
b. P(X = 14)
c. P(X ≥ 14)
rev: 04_26_2013_QC_29765; rev: 08_07_20

4.
A professor of management has heard that twelve students in his
class of 52 have landed an internship for the summer. Suppose
he runs into two of his students in the corridor.
a.
Find the probability that neither of these students has landed an
internship. (Round your intermediate calculations and final
answer to 4 decimal places.)
formula176.mml
b.
Find the probability that both of these students have landed an
internship. (Round your intermediate calculations and final
P(T1 ∩ T2)
rev: 08_06_2013_QC_32707
5.
Market observers are quite uncertain whether the stock market
has bottomed out from the economic meltdown that began in
2008. In an interview on March 8, 2009, CNBC interviewed two
prominent economists who offered differing views on whether

the U.S. economy was getting stronger or weaker. An investor
not wanting to miss out on possible investment opportunities
considers investing $15,000 in the stock market. He believes
that the probability is 0.25 that the market will improve, 0.42
that it will stay the same, and 0.33 that it will deteriorate.
Further, if the economy improves, he expects his investment to
grow to $23,000, but it can also go down to $10,000 if the
economy deteriorates. If the economy stays the same, his
investment will stay at $15,000.
a.
What is the expected value of his investment?
Expected value $
b.
What should the investor do if he is risk neutral?
Investor
invest the $15,000.
c. Is the decision clear-cut if he is risk averse?
Yes
No
rev: 08_07_2013_QC_33420, 11_01_2013_QC_37895
6.
An investment strategy has an expected return of 12 percent and

a standard deviation of 8 percent. Assume investment returns
are bell shaped.
a.
How likely is it to earn a return between 4 percent and 20
percent? (Enter your response as decimal values (not
percentages) rounded to 2 decimal places.)
Probability
b.
How likely is it to earn a return greater than 20 percent?(Enter
your response as decimal values (not percentages) rounded to 2
decimal places.)
Probability
c.
How likely is it to earn a return below −4 percent?(Enter your
response as decimal values (not percentages) rounded to 2
decimal places.)

Probability
rev: 02_26_2014_QC_44958, 07_12_2014_QC_51377
7.
Consider the following frequency distribution:
Class Frequency
10 up to 20 21
20 up to 30 22
30 up to 40 33
40 up to 50 12
a.
Construct a relative frequency distribution. (Round your
answers to 3 decimal places.)
Class Relative
Frequency
10 up to 20
20 up to 30
30 up to 40
40 up to 50
Total

b.
Construct a cumulative frequency distribution and a cumulative
relative frequency distribution. (Round "cumulative relative
frequency" to 3 decimal places.)
Class Cumulative
Frequency Cumulative Relative
Frequency
10 up to 20
20 up to 30
30 up to 40
40 up to 50
c-1.
What percent of the observations are at least 20 but less than
30? (Round your answer to 1 decimal place.)
Percent of observations
c-2.
What percent of the observations are less than 20? (Round your

answer to 1 decimal place.)
rev: 07_05_2013_QC_32367, 08_12_2013_QC_33620
8.
Scores on the final in a statistics class are as follows.
68 24 70 56 72 76 74 116 87 55
82 88 54 66 64 58 84 60 79 62
a.
Calculate the 25th, 50th, and 75th percentiles. (Do not round
intermediate calculations. Round your answers to 2 decimal
places.)
25th percentile

50th percentile
75th percentile
b-1.
Calculate the IQR, lower limit and upper limit to detect outliers.
(Negative value should be indicated by a minus sign. Round
your intermediate calculations to 4 decimal places and final
IQR
Lower limit
Upper limit
b-2. Are there any outliers?
Yes
No
rev: 07_31_2013_QC_32713, 09_13_2013_QC_34880,
10_31_2013_QC_38175, 03_03_2014_QC_44705,
09_24_2014_QC_54188
9.
The estimation of which of the following requires sampling?

Total rainfall in Phoenix, Arizona, in 2010
The average SAT score of incoming freshmen at a university
U.S. unemployment rate
The Cleveland Indians' hitting percentage in 2010
10.
A researcher conducts a mileage economy test involving 79
cars. The frequency distribution describing average miles per
gallon (mpg) appears in the following table.
Average mpg Frequency
15 up to 20 7
20 up to 25 15
25 up to 30 14
30 up to 35 27
35 up to 40 12
40 up to 45 4
a.
Construct the corresponding relative frequency, cumulative
frequency, and cumulative relative frequency distributions.
(Round "relative frequency" and "cumulative relative
frequency" to 4 decimal places.)
Average mpg
Relative
Frequency
Cumulative

Frequency
Cumulative
Relative Frequency
15 up to 20
20 up to 25
25 up to 30

30 up to 35
35 up to 40
40 up to 45

Total
b-1. How many of the cars got less than 20 mpg?
Number of cars
b-2.
What percent of the cars got at least 25 but less than 30 mpg?
(Round your answer to 2 decimal places.)
Percentage of cars
b-3.
What percent of the cars got less than 30 mpg? (Round your
Percentage of cars
b-4. What percent got 30 mpg or more? (Round your answer to
2 decimal places.)
Percentage of cars
rev: 07_05_2013_QC_32367
11.

Consider the following joint probability table.
B1 B2 B3 B4
A 0.14 0.10 0.15 0.09
Ac 0.15 0.17 0.10 0.10
a. What is the probability that A occurs? (Round your answer
to 2 decimal places.)
Probability
b. What is the probability that B2 occurs? (Round your
Probability
c. What is the probability that Ac and B4 occur? (Round your
Probability
d. What is the probability that A or B3 occurs? (Round your
Probability
e.
Given that B2 has occurred, what is the probability that A
occurs? (Round your intermediate calculations and final

Probability
f.
Given that A has occurred, what is the probability that B4
occurs? (Round your intermediate calculations and final
Probability
rev: 08_06_2013_QC_32707
12.
Consider the following cumulative relative frequency
distribution.
Class Cumulative
Relative
Frequency
150 up to 200 0.19
200 up to 250 0.26
250 up to 300 0.55
300 up to 350 1.00
a-1. Construct a relative frequency distribution. (Round your
Class Relative
Frequency
150 up to 200
200 up to 250
250 up to 300
300 up to 350
Total

a-2. What percent of the observations are at least 250 but less
than 300?
13.
Christine has always been weak in mathematics. Based on her
performance prior to the final exam in Calculus, there is a 53%
chance that she will fail the course if she does not have a tutor.
With a tutor, her probability of failing decreases to 23%. There
is only a 63% chance that she will find a tutor at such short
notice.
a.
What is the probability that Christine fails the course? (Round
your answer to 4 decimal places.)
Probability
b.
Christine ends up failing the course. What is the probability that
she had found a tutor? (Round your answer to 4 decimal places.)
Probability
rev: 08_06_2013_QC_32707
14.

A 2010 poll conducted by NBC asked respondents who would
win Super Bowl XLV in 2011. The responses by 20,925 people
are summarized in the following table.
Team Number of Votes
Atlanta Falcons 4,100
New Orleans Saints 1,860
Houston Texans 1,900
Dallas Cowboys 1,641
Minnesota Vikings 1,500
Indianapolis Colts 1,159
Pittsburgh Steelers 1,155
New England Patriots 1,106
Green Bay Packers 1,087
Others
a.
How many responses were for “Others”?
Number of responses
b.
The Green Bay Packers won Super Bowl XLV, defeating the
Pittsburgh Steelers by the score of 31–25. What proportion of
respondents felt that the Green Bay Packers would win? (Round
your answer to 3 decimal places.)
Proportion of respondents
rev: 07_05_2013_QC_32367
15.

Consider the following population data:
37 41 14 11 23
a. Calculate the range.
Range
b.
Calculate MAD. (Round your intermediate calculations to 4
decimal places and final answer to 2 decimal places.)
MAD
c.
Calculate the population variance. (Round your intermediate
calculations to 4 decimal places and final answer to 2 decimal
places.)
Population variance
d.
Calculate the population standard deviation. (Round your
intermediate calculations to 4 decimal places and final answer
Population standard deviation
rev: 07_31_2013_QC_32713
16.

Professor Sanchez has been teaching Principles of Economics
for over 25 years. He uses the following scale for grading.
Grade Numerical Score Probability
A 4 0.100
B 3 0.240
C 2 0.430
D 1 0.125
F 0 0.105
Part (a) omitted
b.
Convert the above probability distribution to a cumulative
probability distribution. (Round your answers to 3 decimal
places.)
Grade P(X ≤ x)
F
D
C
B
A
c.
What is the probability of earning at least a B in Professor
Sanchez’s course? (Round your answer to 3 decimal places.)
Probability
d.

What is the probability of passing Professor Sanchez’s course?
Probability
rev: 02_28_2014_QC_45290
17.
A basketball player is fouled while attempting to make a basket
and receives two free throws. The opposing coach believes there
is a 55% chance that the player will miss both shots, a 25%
chance that he will make one of the shots, and a 20% chance
that he will make both shots.
a.
Construct the appropriate probability distribution. (Round your
x P(X = x)
0
1
2
b.
What is the probability that he makes no more than one of the
shots? (Round your answer to 2 decimal places.)
Probability
c.

What is the probability that he makes at least one of the shots?
Probability
rev: 09_13_2013_QC_35141
18.
Records show that 13% of all college students are foreign
students who also smoke. It is also known that 50% of all
foreign college students smoke. What percent of the students at
this university are foreign?
Percent of the students %
19.
Determine whether the following probabilities are best
categorized as subjective, empirical, or classical probabilities.
a.
Before flipping a fair coin, Sunil assesses that he has a 50%
chance of obtaining tails.
Subjective probability
Empirical probability
Classical probability

b.
At the beginning of the semester, John believes he has a 90%
chance of receiving straight A’s.
c.
A political reporter announces that there is a 48% chance that
the next person to come out of the conference room will be a
Republican, since there are 85 Republicans and 91 Democrats in
the room.
20.
A data set has a mean of 1,080 and a standard deviation of 80.
a.
Using Chebyshev's theorem, what percentage of the
observations fall between 760 and 1,400? (Do not round
intermediate calculations. Round your answer to the nearest
whole percent.)

Percentage of observations
b.
Using Chebyshev’s theorem, what percentage of the
observations fall between 920 and 1,240? (Do not round
intermediate calculations. Round your answer to the nearest
whole percent.)
Percentage of observations
rev: 07_31_2013_QC_32713
21.
Let P(A) = 0.62, P(B) = 0.27, and P(A ∩ B) = 0.17.
a. Calculate P(A | B). (Round your answer to 2 decimal
places.)
P(A | B)
b. Calculate P(A U B). (Round your answer to 2 decimal
places.)
P(A U B)
c. Calculate P((A U B)c). (Round your answer to 2 decimal
places.)
P((A U B)c)
rev: 08_06_2013_QC_32707
22.

Let P(A) = 0.51, P(B | A) = 0.36, and P(B | Ac) = 0.14. Use a
probability tree to calculate the following probabilities: (Round
your answers to 3 decimal places.)
a. P(Ac)
b. P(A ∩ B)
P(Ac ∩ B)
c. P(B)
d. P(A | B)
rev: 08_06_2013_QC_32707, 10_09_2014_QC_55407
23.
Consider the following observations from a population:
133 240 38 93 93 26 184 108 38
a. Calculate the mean and median. (Round "mean" to 2
decimal places.)
Mean
Median

b.
Select the mode. (You may select more than one answer. Single
click the box with the question mark to produce a check mark
for a correct answer and double click the box with the question
mark to empty the box for a wrong answer.)
240
26
108
133
38
93
184
rev: 07_31_2013_QC_32713
24.
An analyst thinks that next year there is a 40% chance that the
world economy will be good, a 10% chance that it will be
neutral, and a 50% chance that it will be poor. She also predicts
probabilities that the performance of a start-up firm, Creative
Ideas, will be good, neutral, or poor for each of the economic
states of the world economy. The following table presents
probabilities for three states of the world economy and the
corresponding conditional probabilities for Creative Ideas.
State of
the World
Economy Probability
of Economic
State Performance

of Creative
Ideas Conditional
Probability of
Creative Ideas
Good 0.40 Good 0.20
Neutral 0.30
Poor 0.50
Neutral 0.10 Good 0.40
Neutral 0.10
Poor 0.50
Poor 0.50 Good 0.40
Neutral 0.40
Poor 0.20
a.
What is the probability that the performance of the world
economy will be neutral and that of creative ideas will be poor?
Probability
b.
What is the probability that the performance of Creative Ideas
will be poor? (Round your answer to 2 decimal places.)
Probability
c.
The performance of Creative Ideas was poor. What is the
probability that the performance of the world economy had also
been poor? (Round your answer to 2 decimal places.)

Probability
rev: 08_06_2013_QC_32707
25.
Complete the following probability table. (Round Prior
Probability answers to 2 decimal places and intermediate
calculations and other answers to 4 decimal places.)
Prior
Probability Conditional Probability Joint
Probability Posterior
Probability
P(B) 0.53 P(A | B) 0.15 P(A ∩ B ) P(B | A)
P(Bc) P(A | Bc) 0.38 P(A ∩ Bc) P(Bc |
A)
Total P(A) Total
rev: 08_06_2013_QC_32707
26.
Consider the following sample data:
x 8 10 7 5 2
y 11 2 7 4 8
a.
Calculate the covariance between the variables. (Round your

intermediate calculations to 4 decimal places and final answer
Covariance
b-1.
Calculate the correlation coefficient. (Round your intermediate
calculations to 4 decimal places and final answer to 2 decimal
places.)
Correlation coefficient
b-2. Interpret the correlation coefficient.
There is
relationship between x and y.
rev: 07_31_2013_QC_32713
27.
India is the second most populous country in the world, with a
population of over 1 billion people. Although the government
has offered various incentives for population control, some
argue that the birth rate, especially in rural India, is still too
high to be sustainable. A demographer assumes the following
probability distribution of the household size in India.
Household Size Probability
1 0.04
2 0.12
3 0.18
4 0.24

5 0.13
6 0.15
7 0.10
8 0.04
a.
What is the probability that there are less than 5 members in a
typical household in India? (Round your answer to 2 decimal
places.)
Probability
b.
What is the probability that there are 5 or more members in a
typical household in India? (Round your answer to 2 decimal
places.)
Probability
c.
What is the probability that the number of members in a typical
household in India is greater than 4 and less than 7 members?
Probability
rev: 02_26_2014_QC_45094
28.
The State Police are trying to crack down on speeding on a

particular portion of the Massachusetts Turnpike. To aid in this
pursuit, they have purchased a new radar gun that promises
greater consistency and reliability. Specifically, the gun
advertises ± one-mile-per-hour accuracy 70% of the time; that
is, there is a 0.70 probability that the gun will detect a speeder,
if the driver is actually speeding. Assume there is a 2% chance
that the gun erroneously detects a speeder even when the driver
is below the speed limit. Suppose that 67% of the drivers drive
below the speed limit on this stretch of the Massachusetts
Turnpike.
a.
What is the probability that the gun detects speeding and the
driver was speeding? (Round your answer to 4 decimal places.)
Probability
b.
What is the probability that the gun detects speeding and the
driver was not speeding? (Round your answer to 4 decimal
places.)
Probability
c.
Suppose the police stop a driver because the gun detects
speeding. What is the probability that the driver was actually
driving below the speed limit? (Round your answer to 4 decimal
places.)
Probability
rev: 08_06_2013_QC_32707

29.
At a local bar in a small Midwestern town, beer and wine are
the only two alcoholic options. The manager noted that of all
male customers who visited over the weekend, 153 ordered
beer, 46 ordered wine, and 17 asked for soft drinks. Of female
customers, 37 ordered beer, 23 ordered wine, and 10 asked for
soft drinks.
a.
Construct a contingency table that shows frequencies for the
qualitative variables Gender (male or female) and Drink Choice
(beer, wine, or soft drink).
Drink Choice
Gender Beer (B) Wine (W) Soft Drinks (D) Totals
Male (M)
Female (F)
Total
b. Find the probability that a customer orders wine. (Round
your intermediate calculations and final answer to 4 decimal
places.)
P(W)
c.
What is the probability that a male customer orders wine?

(Round your intermediate calculations and final answer to 4
decimal places.)
P (W | M )
d. Are the events “Wine” and “Male” independent?
Yes because P(“Wine” | “Male”) = P(“Wine”).
Yes because P(“Wine” ∩ “Male”) = P(“Wine”).
No because P(“Wine” | “Male”) ≠ P(“Wine”).
No because P(“Wine” ∩ “Male”) ≠ P(“Wine”).
rev: 08_06_2013_QC_32707
30.
Consider the following frequency distribution.
Class Frequency
2 up to 4 21
4 up to 6 59
6 up to 8 81
8 up to 10 21
a.
Calculate the population mean. (Round your answer to 2
decimal places.)
Population mean
b.
Calculate the population variance and the population standard

deviation. (Round your intermediate calculations to 4 decimal
places and final answers to 2 decimal places.)
Population variance
rev: 07_31_2013_QC_32713
31.
Which of the following variables is not continuous?
Time of a flight between Atlanta and Chicago
Height of NBA players
The number of obtained heads when a fair coin is tossed 20
times
Average temperature in the month of July in Orlando
32.
The one-year return (in %) for 24 mutual funds is as follows:
–10.7 –1.4 0.9 6.1 –15.9 –7.5
21.5 –9.6 4.5 11.1 14.5 4.7
–8.4 –8.4 19.5 14.9 29.3 7.7
22.0 24.8 –0.4 11.1 5.0 –11.0
a.
Construct a frequency distribution using classes of –20 up to –
10, –10 up to 0, etc.

Class (in %) Frequency
–20 up to –10
–10 up to 0
0 up to 10
10 up to 20
20 up to 30
Total
b.
Construct the relative frequency, the cumulative frequency, and
the cumulative relative frequency distributions. (Round
"relative frequency" and "cumulative relative frequency"
Class (in %) Relative
Relative Frequency
–20 up to –10
–10 up to 0
0 up to 10
10 up to 20
20 up to 30
Total
c-1. How many of the funds had returns of at least 20% but less
than 30%?
Number of funds
c-2. How many of the funds had returns of 0% or more?

Number of funds
d-1.
What percent of the funds had returns of at least –10% but less
than 0%? (Round your answer to 1 decimal place.)
Percent of funds
d-2.
What percent of the funds had returns less than 20%? (Round
your answer to 1 decimal place.)
Percent of funds
rev: 06_24_2013_QC_31991, 07_05_2013_QC_32367
©2015 McGraw-Hill Education. All rights reserved.
33.
Investment advisors recommend risk reduction through
international diversification. International investing allows you
to take advantage of the potential for growth in foreign
economies, particularly in emerging markets. Janice Wong is
considering investment in either Europe or Asia. She has
studied these markets and believes that both markets will be
influenced by the U.S. economy, which has a 16% chance for
being good, a 57% chance for being fair, and a 27% chance for
being poor. Probability distributions of the returns for these
markets are given in the accompanying table.

State of the
U.S. Economy Returns
in Europe Returns
in Asia
Good 14% 28%
Fair 5% 7%
Poor −12% −10%
a.
Find the expected value and the standard deviation of returns in
Europe and Asia. (Round your intermediate calculations to 4
decimal places and final answers to 2 decimal places.)
Europe Asia
Expected value % %
Standard deviation
b. What will Janice pick as an investment if she is risk
neutral?
Investment in Europe
Investment in Asia
rev: 08_07_2013_QC_33420
34.
Consider the following probabilities: P(Ac) = 0.32, P(B) = 0.58,
and P(A ∩ Bc) = 0.25.
a. Find P(A | Bc). (Do not round intermediate calculations.
Round your answer to 2 decimal places.)
P(A | Bc)

b. Find P(Bc | A). (Do not round intermediate calculations.
Round your answer to 3 decimal places.)
P(Bc | A)
c. Are A and B independent events?
Yes because P(A | Bc) = P(A).
Yes because P(A ∩ Bc) ≠ 0.
No because P(A | Bc) ≠ P(A).
No because P(A ∩ Bc) ≠ 0.
rev: 08_06_2013_QC_32707
35.
The probabilities that stock A will rise in price is 0.64 and that
stock B will rise in price is 0.36. Further, if stock B rises in
price, the probability that stock A will also rise in price is 0.56.
a.
What is the probability that at least one of the stocks will rise in
price? (Round your answer to 2 decimal places.)
Probability
b. Are events A and B mutually exclusive?
Yes because P(A | B) = P(A).
Yes because P(A ∩ B) = 0.
No because P(A | B) ≠ P(A).

No because P(A ∩ B) ≠ 0.
c. Are events A and B independent?
Yes because P(A ∩ B) = 0.
rev: 08_06_2013_QC_32707
36.
A sample of patients arriving at Overbrook Hospital’s
emergency room recorded the following body temperature
readings over the weekend:
102.6 99.8 100.7 100.9 100.5 102.4 101.3
99.2 100.5 100.9
99.8 100.3 99.8 100.5 100.9 100.7 100.3
100.2 99.6 99.7
a. Construct a stem-and-leaf diagram.
Stem Leaf
b. Interpret the stem-and-leaf diagram.

The distribution is Positively Skewed.
The distribution is Negatively Skewed.
The distribution is symmetric.
37.
A professor has learned that nine students in her class of 24 will
cheat on the exam. She decides to focus her attention on eleven
randomly chosen students during the exam.
a.
What is the probability that she finds at least one of the students
cheating? (Round your intermediate calculations and final
Probability
b.
What is the probability that she finds at least one of the students
cheating if she focuses on twelve randomly chosen students?
(Round your intermediate calculations and final answers to 4
decimal places.)
Probability
rev: 08_07_2013_QC_33420
38.
At the end of a semester, college students evaluate their

instructors by assigning them to one of the following categories:
Excellent, Good, Average, Below Average, and Poor. The
measurement scale is a(n) ____________.
nominal scale
ratio scale
ordinal scale
interval scale
39.
Consider the following contingency table.
B Bc
A 23 21
Ac 30 26
a.
Convert the contingency table into a joint probability table.
(Round your intermediate calculations and final answers to 4
decimal places.)
B

b. What is the probability that A occurs? (Round your
intermediate calculations and final answer to 4 decimal places.)
Probability
c. What is the probability that A and B occur? (Round your
intermediate calculations and final answer to 4 decimal places.)
Probability
d.
Given that B has occurred, what is the probability that A
occurs? (Round your intermediate calculations and final answer
Probability
e.

Given that Ac has occurred, what is the probability that B
occurs? (Round your intermediate calculations and final answer
Probability
f. Are A and B mutually exclusive events?
Yes because P(A | B) ≠ P(A).
Yes because P(A ∩ B) ≠ 0.
g. Are A and B independent events?
Yes because P(A | B) ≠ P(A).
rev: 08_06_2013_QC_32707, 11_10_2013_QC_38348
40.
Consider the following returns for two investments, A and B,
over the past four years:

Investment 1: 9% 10% –7% 15%
Investment 2: 7% 9% –16% 14%
a-1.
Calculate the mean for each investment. (Round your answers to
2 decimal places.)
Mean
Investment 1 percent
Investment 2 percent
a-2.
Which investment provides the higher return?
Investment 2
Investment 1
b-1.
Calculate the standard deviation for each investment. (Round

Standard
Deviation
Investment 1
Investment 2
b-2.
Which investment provides less risk?
Investment 1
Investment 2
c-1.
Given a risk-free rate of 1.2%, calculate the Sharpe ratio for
each investment. (Do not round intermediate calculations.
Round your answers to 2 decimal places.)
Sharpe Ratio
Investment 1
Investment 2
c-2. Which investment has performed better?

Investment 2
Investment 1
rev: 07_31_2013_QC_32713, 11_10_2013_QC_38348
41.
Which of the following represents a population and a sample
from that population?
Freshmen at St. Joseph's University and basketball players at St.
Joseph's University
Teachers in a high school and members of the parent teacher
group
Residents of Albany, New York, and registered voters in
Albany, New York
Fans at a concert who purchase t-shirts and fans at a concert
who purchase soda
42.
(Use computer) Assume that X is a hypergeometric random
variable with N = 54, S = 21, and n = 8. Calculate the following
probabilities. (Round your answers to 4 decimal places.)
a. P(X = 6)
b. P(X ≥ 2)
c. P(X ≤ 7)
43.

Which scales of data measurement are associated with
quantitative data?
Interval and ratio
Nominal and ordinal
Ratio and nominal
Ordinal and interval
44.
Which of the following is a quantitative variable?
All of the Answers
House size
House price
House age
45.
(Use computer) A committee of 39 members consists of 21 men
and 18 women. A subcommittee consisting of 13 randomly
selected members will be formed.
a.
What are the expected number of men and women in the
subcommittee?
Expected
Number
Men
Women

b.
What is the probability that at least four of the members in the
subcommittee will be women? (Round your answer to 4 decimal
places.)
Probability
46.
The following relative frequency distribution was constructed
from a population of 450. Calculate the population mean, the
population variance, and the population standard deviation.
(Round your intermediate calculations to 4 decimal places and
final answers to 2 decimal places.)
Class Relative Frequency
−20 up to −10 0.10
−10 up to 0 0.22
0 up to 10 0.36
10 up to 20 0.32
Population mean
Population variance
rev: 07_31_2013_QC_32713
47.
A recent survey of 200 small firms (annual revenue less than

$10 million) asked whether an increase in the minimum wage
would cause the firm to decrease capital spending. Possible
responses to the survey question were: "Yes," "No," or "Don't
Know." These data are best classified as ____________.
ratio scale
nominal scale
interval scale
ordinal scale
48.
A manager of a local retail store analyzes the relationship
between advertising and sales by reviewing the store’s data for
the previous six months.
Advertising (in $100s) Sales (in $1,000s)
274 198
67 55
66 54
65 53
276 200
236 200
a.
Calculate the mean of advertising and the mean of sales. (Round
Mean
Advertising
Sales

b.
Calculate the standard deviation of advertising and the standard
deviation of sales. (Round your answers to 2 decimal places.)
Standard Deviation
Advertising
Sales
c-1. Calculate the covariance between advertising and sales.
Covariance
c-2.
Interpret the covariance between advertising and sales.
No correlation
Positive correlation
Negative correlation
d-1.
Calculate the correlation coefficient between advertising and
sales. (Round your answer to 2 decimal places.)
Correlation coefficient
d-2.
Interpret the correlation coefficient between advertising and
sales.

Weak positive correlation
Strong negative correlation
Strong positive correlation
No correlation
Weak negative correlation
rev: 07_31_2013_QC_32713
©2015 McGraw-Hill Education. All rights reserved.
49.
(Use computer) Assume that X is a Poisson random variable
with μ = 24. Calculate the following probabilities. (Round your
intermediate calculations and final answers to 4 decimal
places.)
a. P(X ≤ 19)
b. P(X = 21)
c. P(X > 26)
d. P(21 ≤ X ≤ 31)
rev: 08_07_2013_QC_33420
50.
Let P(A) = 0.54, P(B) = 0.25, and P(A ∩ B) = 0.22.
a. Are A and B independent events?

b. Are A and B mutually exclusive events?
c. What is the probability that neither A nor B takes place?
Probability
rev: 08_06_2013_QC_32707
· You will choose to create a PowerPoint, Word Document
(poster) about a geohazard or an erosional process.
· A geohazard is geological state that has the potential to
damage a landscape. Some examples are: tsunamis, landslides
and earthquakes.
· An erosional process is the movement of sediments on the
landscape that can be caused by wind or water. Examples
include: flooding, loss of topsoil for farming, and
desertification.
· You may also choose to create your presentation in
PowerPoint or use Word to insert pictures and information.
Include pictures and cite all sources (at end of presentation).
What do you need to do? First, decide if you want to study an
erosional landform or a geohazard. Then, identify which
specific topic within that category you want to learn more
about. After you have made these decisions, answer the
questions below about your choice.
How will it be graded? Creative work must also include

accurate content. Make sure all the questions below are
addressed in your advertisement, as the majority of your grade
is based on content. However, a portion of the grade will be
your creativity. So let loose and enjoy this assessment!
Erosional Process/Landform INFO:
1. Name of landform
2. Identify the erosional process that makes this landform
3. Identify
4. Describe the steps of the process that forms this landform
5. Identify 2 examples of these types of landforms – provide
pictures and location!
6. Identify any potential problems that might arise for human
settlements in the vicinity
Include pictures and of course cite your sources!
GeohazardsINFO:
1. Name of geohazard
2. Describe this geohazard- explain what happens!
3. Describe how this is a hazard to humans and why it should be
a concern to us
4. What regions are most vulnerable to these events?
5. How is the destructive nature of your geohazard measured?
6. Identify 2 examples of when this geohazard occurred-
give dates, location and briefly describe.
7. Identify 3 ways that humans can protect/prepare themselves
for this sort of event.
Include pictures and of course cite your sources!

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