MATH 3339 Final Exam Review Questions and 100% Correct Answers Fall 2026/2027
Latest – University of Houston
You scored 45 out of 45
Question 1
Your answer is CORRECT.
Given a dataset of all positive values, if the largest value of a dataset is doubled, which of the following is
not true?
a) The variance increases
b) The range increases
c) The standard deviation increases
d) The mean increases
e) The interquartile range increases
Question 2
Your answer is CORRECT.
Given that ( ) = 0.27, ( ) = 0.46, and ( ∩ ) = 0.11, find ( ).
a) 0.761
b) 0.124
c) 0.876
d) 0.239
e) 0.407
Question 3
Your answer is CORRECT.
A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive
fewer than three complaints each hour. Assume the number of complaints follows the Poisson distribution.
Determine the probability that exactly four complaints will be received during the next eight hours.
a) 0.524
,b) 0.182
c) 0.476
d) 0.003
e) 1.000
Question 4
Your answer is CORRECT.
The following table displays the results of a sample of 100 in which the subjects indicated their favorite ice
cream of three listed. The dataAge
are organizedChocolate
by favorite ice cream and
Vanilla age group. What is the probability that
Strawberry
a person chosen at random will be under 20 years old if he or she favors chocolate?
Over 40 12 8 10
20-40 13 9 13
Under 20 13 19 3
87
a)
100
25
b)
38
13
c)
38
13
d)
30
13
e)
100
Question 5
Your answer is CORRECT.
Suppose that in a large metropolitan area, 89% of all households have cable tv. Suppose you are interested in
selecting a group of six households from this area. Let X be the number of households in a group of six
households from this area that have cable tv. For what proportion of groups will at most two of the
households have cable tv?
a) 0.979
b) 0.998
, c) 0.019
d) 0.021
e) 0.002
Question 6
Your answer is CORRECT.
A random sample of 144 observations produced a sample proportion of 0.35. An approximate 90%
confidence interval for the population proportion p is between
a) 0.285 and 0.415
b) 0.285 and 0.428
c) 0.310 and 0.390
d) 0.272 and 0.428
e) 0.269 and 0.431
Question 7
Your answer is CORRECT.
A potato chip company calculated that there is a mean of 73.6 broken potato chips in each production run
with a standard deviation of 5.1. If the distribution is approximately normal, find the probability that there
will be fewer than 71 broken chips in a run.
a) 0.153
b) 0.695
c) 0.305
d) 0.605
e) 0.555
Question 8
Your answer is CORRECT.
Identify the most appropriate test to use for the following situation:
A national computer retailer believes that the average sales are greater for salespersons with a college degree.
A random sample of 14 salespersons with a degree had an average weekly sale of $3542 last year, while 17
salespersons without a college degree averaged $3301 in weekly sales. The standard deviations were $468
and $642 respectively. Is there evidence to support the retailer's belief?
Latest – University of Houston
You scored 45 out of 45
Question 1
Your answer is CORRECT.
Given a dataset of all positive values, if the largest value of a dataset is doubled, which of the following is
not true?
a) The variance increases
b) The range increases
c) The standard deviation increases
d) The mean increases
e) The interquartile range increases
Question 2
Your answer is CORRECT.
Given that ( ) = 0.27, ( ) = 0.46, and ( ∩ ) = 0.11, find ( ).
a) 0.761
b) 0.124
c) 0.876
d) 0.239
e) 0.407
Question 3
Your answer is CORRECT.
A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive
fewer than three complaints each hour. Assume the number of complaints follows the Poisson distribution.
Determine the probability that exactly four complaints will be received during the next eight hours.
a) 0.524
,b) 0.182
c) 0.476
d) 0.003
e) 1.000
Question 4
Your answer is CORRECT.
The following table displays the results of a sample of 100 in which the subjects indicated their favorite ice
cream of three listed. The dataAge
are organizedChocolate
by favorite ice cream and
Vanilla age group. What is the probability that
Strawberry
a person chosen at random will be under 20 years old if he or she favors chocolate?
Over 40 12 8 10
20-40 13 9 13
Under 20 13 19 3
87
a)
100
25
b)
38
13
c)
38
13
d)
30
13
e)
100
Question 5
Your answer is CORRECT.
Suppose that in a large metropolitan area, 89% of all households have cable tv. Suppose you are interested in
selecting a group of six households from this area. Let X be the number of households in a group of six
households from this area that have cable tv. For what proportion of groups will at most two of the
households have cable tv?
a) 0.979
b) 0.998
, c) 0.019
d) 0.021
e) 0.002
Question 6
Your answer is CORRECT.
A random sample of 144 observations produced a sample proportion of 0.35. An approximate 90%
confidence interval for the population proportion p is between
a) 0.285 and 0.415
b) 0.285 and 0.428
c) 0.310 and 0.390
d) 0.272 and 0.428
e) 0.269 and 0.431
Question 7
Your answer is CORRECT.
A potato chip company calculated that there is a mean of 73.6 broken potato chips in each production run
with a standard deviation of 5.1. If the distribution is approximately normal, find the probability that there
will be fewer than 71 broken chips in a run.
a) 0.153
b) 0.695
c) 0.305
d) 0.605
e) 0.555
Question 8
Your answer is CORRECT.
Identify the most appropriate test to use for the following situation:
A national computer retailer believes that the average sales are greater for salespersons with a college degree.
A random sample of 14 salespersons with a degree had an average weekly sale of $3542 last year, while 17
salespersons without a college degree averaged $3301 in weekly sales. The standard deviations were $468
and $642 respectively. Is there evidence to support the retailer's belief?
