Question 1 of 20
1.0/ 1.0 Points
If A and B are any two events with P(A) = .8 and f$P(Bar{A})=
.7f$ then f$P(ar{A}igcap{B})f$ is:
A..24
B.0.56
C.0.14
D.0.875
Answer Key:
Question 2 of 20
1.0/ 1.0 Points
Sue has 10 pictures but only has space in her apartment to
hang 4 of them on a wall. The number of different arrangements of four pictures
from a selection of ten pictures is:
A.24
B.210
C.151,200
D.5,040
Answer Key:
Question 3 of 20
1.0/ 1.0 Points
If A and B are mutually exclusive events with P(A) = 0.30
and P(B) = 0.40, then the probability that either A or B or both occur is:
A.0.12
B.0.30
C.0.70
D.0.10
Answer Key:
Question 4 of 20
1.0/ 1.0 Points
If P(A) = P(AB), then events A and B are said to be
A.mutually exclusive
B.complementary
C.exhaustive
D.independent
Answer Key:
Question 5 of 20
1.0/ 1.0 Points
A gumball machine contains 300 grape flavored balls, 400
cherry flavored balls, and 500 lemon flavored balls. What is the probability of
getting 1 grape ball, 1 cherry ball, and 1 lemon ball if each ball was removed
and then replaced before choosing the next from the machine?
A.0.0264
B.0.0531
C.0.0347
D.0.0482
Answer Key:
Part 2 of 6  4.0/
5.0 Points
Question 6 of 20
1.0/ 1.0 Points
A discrete probability distribution:
A.can be estimated
from longrun proportions
B.is a tool that can
be used to incorporate uncertainty into models
C.is the distribution
of multiple random variables
D.lists all of the possible values of the
random variable and their corresponding probabilities
Answer Key:
Question 7 of 20
1.0/ 1.0 Points
A drug is reported to benefit 40% of the patients who take
it. If 6 patients take the drug, what is the probability that 4 or more
patients will benefit?
A.0.138
B.0.667
C.0.862
D.0.179
Answer Key:
Question 8 of 20
0.0/ 1.0 Points
We assume that the outcomes of successive trials in a
binomial experiment are:
A.identical from
trial to trial
B.random numbers
between 0 and 1
In
C.probabilistically dependent
D.probabilistically
independent
Answer Key:
Question 9 of 20
1.0/ 1.0 Points
Which term is NOT synonymous with the expected value of a
discrete probability distribution?
A.variance
B.theoretical average
C.mean
D.?
Answer Key:
Question 10 of 20
1.0/ 1.0 Points
Find the variance of the following probability distribution.
X P(X)
1 0.20
2 0.15
3 0.25
4 0.25
5 0.15
A.1.34
B.1.8
C.0.48
D.1.16
Answer Key:
Part 3 of 6  3.0/
4.0 Points
Question 11 of 20
1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
It has been reported that 3% of all cars on the highway are
traveling at speeds in excess of 70 mph. If the speeds of four random
automobiles are measured via radar, what is the probability that at least one
car is going over 70 mph? Place your answer, rounded to four decimal places, in
the space. .1147
Answer Key:
Question 12 of 20
0.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For scientific
notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
In February 2002 the Argentine peso lost 70% of its value
compared to the United States dollar. This devaluation drastically raised the
price of imported products. According to a survey conducted by AC Nielsen in
April 2002, 68% of the consumers in Argentina were buying fewer products than
before the devaluation, 24% were buying the same number of products, and 8%
were buying more products. Furthermore, in a trend toward purchasing
lessexpensive brands, 88% indicated that they had changed the brands they
purchased. Suppose the following complete set of results were reported. Use the
following data to answer this question.
Number of Products Purchased
Brands Purchased
Fewer
Same
More
Total
Same
10
14
24
48
Changed
262
82
8
352
Total
272
96
32
400
What is the probability that a consumer selected at random
purchased fewer products than before and changed brands? Place your answer,
rounded to 4 decimal places, in the blank.
.5984
Answer Key:
Question 13 of 20
1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
The following data were obtained from a survey of college
students. The variable X represents the number of nonassigned books read
during the past six months.
x
0
1
2
3
4
5
6
P (X=x)
0.55
0.15
0.10
0.10
0.04
0.03
0.03
What is the standard deviation of X? Place your answer, rounded to two decimal
places in the blank. For example, 4.56 would be a legitimate entry. 1.62
Answer Key:
Question 14 of 20
1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
The following data were obtained from a survey of college
students. The variable X represents the number of nonassigned books read
during the past six months.
x
0
1
2
3
4
5
6
P (X=x)
0.55
0.15
0.10
0.10
0.04
0.03
0.03
Find P(1 < X < 5).
Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate
entry. 0.24
Answer Key:
Part 4 of 6  2.0/
4.0 Points
Question 15 of 20
0.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
Mothers Against Drunk Driving (MADD) is a very visible group
whose main focus is to educate the public about the harm caused by drunk
drivers. A study was recently done that emphasized the problem we all face with
drinking and driving. Five hundred accidents that occurred on a Saturday night
were analyzed. Two items noted were the number of vehicles involved and whether
alcohol played a role in the accident. The numbers are shown below:
Number of Vehicles Involved
Did alcohol play a role?
1
2
3
Yes
60
110
30
200
No
40
215
45
300
100
325
75
Given alcohol was involved, what proportion of accidents
involved a single vehicle?
Place your answer, rounded to 2 decimal places, in the
blank. For example, 0.23 is a legitimate entry.
0.50
Answer Key:
Question 16 of 20
1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
A bag contains 12 colored balls, each ball being either
black or white. The probability of drawing a white ball twice with replacement
is 1/16. How many white balls are in
the bag? Place your answer in the blank,
do not include any decimals or other marks. For example, 7 would be a
legitimate entry.
There are 3 white
balls in the bag.
Answer Key:
Question 17 of 20
1.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
If you have six books, but there is room for only four books
on the shelf, in how many ways can these books be arranged on the shelf? Place
your answer in the blank. Do not use any decimal places or commas. For example,
45 would be a legitimate entry. 360
Answer Key:
Question 18 of 20
0.0/ 1.0 Points
Accepted characters: numbers, decimal point markers (period
or comma), sign indicators (), spaces (e.g., as thousands separator, 5 000),
"E" or "e" (used in scientific notation). NOTE: For
scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where
"a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is
valid whereas {9i} is not.
The president of a bank is attempting to arrange a meeting
with the three vice presidents for a Friday weekly meeting. He believes that
each of these three busy individuals, independently of the others, has about
40% chance of being able to attend the meeting. If the meeting will be held
only if every vice president can attend, what is the probability that the
meeting will take place? Place your answer, rounded to 3 decimal places, in the
blank. For example, 0.123 would be a legitimate entry. .352
Answer Key:
Part 5 of 6  1.0/
1.0 Points
Question 19 of 20
1.0/ 1.0 Points
Two events A and B are said to be independent if P(A and B)
= P(A) + P(B)
True
False
Answer Key:
Part 6 of 6  0.0/
1.0 Points
Question 20 of 20
0.0/ 1.0 Points
A binomial experiment has exactly two outcomes, so the
probability of any binomial experiment is always 0.5 or 50%.
In
True
False
Answer Key:
Feedback: While it is true that a binomial experiment must
have exactly two outcomes, that does not mean the probabilities of the outcomes
are 50/50.
