MATH 210 - Exam 2 - Review Problems
1) Which of the following is equivalent to 0.002?
A) 0.02%
B) 2%
C) 0.2%
D) 20%
2) A company manufactures ball point pens and has been experiencing a 5% rate of
defective pens. In a random sample of 50 pens, what's the chance exactly one pen is
defective?
A) 0.2794
B) 0.01
C) 0.2024
D) 0.05
3) How many 4-letter words can be made from the word numbers? Each letter can only be
used once. Examples: user, sure, burn, brnm, uemb, etc.
A) 5,040
B) 24
C) 35
D) 840
4) A random sample of 985 pedestrian deaths were caused by accidents. Based on the table
below, if one of the pedestrian deaths is randomly selected, find the probability that the
pedestrian was not intoxicated or the driver was not intoxicated.
Pedestrian
Intoxicated
Pedestrian
Not
Intoxicated
Totals
59
79
138
266
581
847
325
660
985
Driver
Intoxicated
Driver
Not
Intoxicated
Totals
A) 0.9401
B) 0.9075
C) 0.9916
D) 0.9283
5) For one population, 9% are color blind. In a random sample of 40 people, what is the
expected number of people that are not color blind?
A) 25.8
B) 3.276
C) 36.4
1
D) 3.6
6) An insurance company has determined that 6% of all drivers were involved in a car
accident last year. Let X be the number of drivers in a sample of 28 involved in an
accident last year. What is the standard deviation of X?
A) 1.579
B) 1.680
C) 1.257
D) 2.375
7) An insurance company issues one-year policies to a random sample of 12 men who are
all 27 years of age. Based on data from the Department of Health and Human services,
each of these men has a 99.82% chance of living through the year. What is the probability
that they all survive the year?
A) 0.8913
B) 0.9786
C) 0.1197
D) 0.0833
8) A sample of 15 super intellegent people are asked what their favorite class is at UT Martin
with the following results.
Favorite Class
Statistics
Microbiology
Organic Chemistry
Frequency
5
6
4
Three people are randomly selected without replacement. Find the probability that none
of them says Organic Chemistry is their favorite class.
A) 0.0088
B) 0.019
C) 0.6374
D) 0.3626
9) What is the probability X is at least 5?
X
3
4
5
6
7
P(X)
0.04
0.15
0.21
?
?
A) 0.19
B) 0.6
C) 0.4
D) 0.81
10) "Inability to get along with others" is the reason cited for 17% of worker firings. In a
random sample of 5 employee firings, what's the chance at most 2 reasons are because the
employee couldn't get along with others?
A) 0.8358
B) 0.1652
C) 0.2249
D) 0.9625
11) For one region, the number of earthquakes follows a Poisson distribution with a mean of
0.93 per year. What's the chance there are at most 2 earthquakes in a given year?
A) 0.8649
B) 0.1706
C) 0.2243
2
D) 0.932
12) In one region, the number of dandelions in 1 square meter follows a Poisson distribution
with mean 7. What is the chance there are 5 dandelions in 1 square meter?
A) 0.228
B) 0.0742
C) 0.3007
D) 0.1277
13) The cholesterol-reducing drug Lipitor consists of atorvastatin calcium. A random
sample of subjects with a headache are selected. Some received 10 mg of atorvastatin
and some received a placebo. After a period of time, whether or not they had a headache
is recorded. If one of the 100 subjects is randomly selected, find the probability that he or
she had a headache, given they took the placebo.
10 mg of
Atorvastatin
Placebo
Totals
15
65
80
17
3
20
32
68
100
Headache
No
Headache
Totals
A) 0.955
B) 0.65
C) 0.8
D) 0.812
14) An office secretary has a box of ink pens in her drawer. The ink pens will work properly
65% of the time. Ink pens are taken out and tested one after the other until one works.
Find the probability that 6 ink pens are taken out.
A) 0.0377
B) 0.0754
C) 0.0018
D) 0.0034
15) The number of cars passing through a toll booth follows a Poisson distribution with a
mean of 2 per minute. For a randomly selected hour, find the probability 100 pass
through in an hour.
A) 0.9653
B) 0.0347
C) 0.9721
D) 0.0068
16) A brand of cereal comes in 2 flavors: plain and crunchy. A researcher has 8 boxes of each
to choose from. How many ways can they select 3 of each flavor for a quality control test?
A) 112,896
B) 3,136
C) 336
D) 56
17) In one neighborhood, 10 homes have brick siding and the remaining 5 have vinyl siding.
If 3 homes are randomly selected without replacement, find the probability that at least
one has brick siding.
A) 0.704
B) 0.978
C) 0.296
3
D) 0.022
18) Below is a table concerning the 100 Senators from the 108th Congress of the U.S. If we
randomly select a Senator, what is the probability they are Republican given they are
male?
Male
Female
Totals
A) 0.46
Republican
46
5
51
Democrat
39
9
48
B) 0.535
Independent
1
0
1
C) 0.51
Totals
86
14
100
D) 0.902
19) Is the following a probability distribution?
X
0
1
2
3
4
P(X)
0.502
0.365
0.098
0.011
0.001
A) No, exactly two necessary conditions are not satisfied.
B) Yes, exactly one of the necessary conditions is satisfied.
C) No, exactly one of the necessary conditions is not satisfied.
D) Yes, all necessary conditions are satisfied
20) A company manufactures ball point pens and has been experiencing a 5% rate of
defective pens. In a random sample of 50 pens, what's the mean number of defective
pens?
A) 1.3
B) 1
C) 2.5
D) 2
21) A random sample of 4 men are randomly selected. Below is the distribution for the
number (X) that live through next year. What is the mean?
X
0
1
2
3
4
A) 4.027
B) 2
P(X)
0.0001
0.0002
0.0006
0.0385
0.9606
C) 3.959
4
D) 2.571
22) Suppose that Movies-To-Go has 3,500 movies to choose from. You want to take
advantage of their 5 movies for 5 days for $5 deal. How many ways can you select 5
movies?
A) 5.237E17
B) 4.364E15
C) 700
D) 17,500
23) Once you have rented 5 movies from Movies-To-Go, what's the chance you watch each
movie in the order of their release date beginning with the movie that was released first?
Assume that no 2 movies have the same release date.
A) 0.4
B) 0.2
C) 0.0083
D) 0.005
24) A random sample of 3 men with a specific genetic disorder, each with one child is taken.
Below is the distribution for the number (X) of children that inherit the genetic disorder.
What is the variance of X?
X
0
1
2
3
A) 0.561
B) 1.664
P(X)
0.4219
0.4219
0.1406
0.0156
C) 1.249
D) 0.749
25) Based on past results, the distribution for the number (X) of games a World Series will
last is given below. What's the chance the World Series will last at least 5 games?
X
P(X)
A) 0.8181
4
5
6
7
0.1819 0.2121 0.2323 0.3737
B) 0.606
C) 0.75
5
D) 0.5