Question 1 of 20
1.0 Points
The staff at a small company includes: 4 secretaries, 20 technicians, 4 engineers, 2
executives, and 50 factory workers. If a person is selected at random, what is the
probability that he or she is a factory worker?
A. 1/4
B. 1/8
C. 5/8
D. 2/5
Question 2 of 20
1.0 Points
If the probability that it will rain tomorrow is 0.38, then the probability that it will not rain tomorrow is:
A. 0.38
B. -0.38
C. 0.62
D. 1.38
Question 3 of 20
1.0 Points
If a die is rolled one time, find the probability of getting a number greater than 2.
A. 2
B. -1
C. 5/6
D. 4/6
Question 4 of 20
1.0 Points
In a recent study, the following data were obtained in response to the question, “Do you favor recycling in
your neighborhood?”
Males
Yes
25
No No Opinion
15
10
Females
30
10
10
If a person is picked at random, what is the probability that the person is either male or has no opinion
regarding recycling?
A. 3/5
B. 3/10
C. 4/5
D. 7/10
Question 5 of 20
1.0 Points
A jar contains four white marbles, five red marbles, and six black marbles. If a marble is selected at
random, find the probability that it is white or black .
A. 2/15
B. 2/3
C. 1/5
D. 2/5
Question 6 of 20
1.0 Points
A furniture manufacturer offers bookcases in 5 different sizes and 3 different colors. If every color is
available in every size, then the total number of different bookcases is
A. 5
B. 8
C. 15
D. 30
Question 7 of 20
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
Question 8 of 20
1.0 Points
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.
1.0 Points
Question 9 of 20
If a menu has a choice of 4 appetizers, 4 main courses, and 3 desserts, then the sample space for all
possible dinners has how many outcomes?
A. 48
B. 16
C. 28
D. 3
Question 10 of 20
1.0 Points
A certain system has two components. There are 10 different models of the first component and 10
different of the second. Any first component can be paired with any second component. A salesman
must select 2 of the first component and 3 of the second to take on a sales call. How many different
systems can the salesman select? Place your answer in the blank. Do NOT use commas. For example,
2350 would be a legitimate response.
Question 11 of 20
1.0 Points
What probability value would be needed to complete the following probability distribution?
X
P(X)
-2
0.13
-1
0.14
0
1
0.16
2
0.29
Place your answer in the blank
Question 12 of 20
1.0 Points
The probability distribution associated with the number of cartoons watched by Mrs. Kelly's first grade
class on Saturday morning is shown below.
x
0
1
2
3
4
5
P(x)
0.15
0.20
0.30
0.10
0.20
0.05
Find the standard deviation for the probability distribution above.
A. 1.46
B. 2.25
C. 1.89
D. 1.18
Question 13 of 20
1.0 Points
If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum
of three, he wins $20. The cost to play the game is $5. What is the expectation of
this game?
A. $3.06
B. -$2.78
C. -$3.06
D. $2.78
Question 14 of 20
1.0 Points
If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets
exactly four correct. Each question has four possible choices.
A. 0.19
B. 0.17
C. 0.08
D. 0.23
Question 15 of 20
1.0 Points
A pet supplier has a stock of parakeets of which 10% are blue parakeets. A pet
store orders 3 parakeets from this supplier. If the supplier selects the parakeets
at random, what is the chance that the pet store gets exactly one blue parakeet?
A. 0.081
B. 0.243
C. 0.027
D. 0.003
Question 16 of 20
1.0 Points
If 1.5% of the bolts made by an automotive factory are defective, what is the probability that in a
shipment of 200 bolts, there are 6 defective bolts? Place your answer, rounded to four decimal places,
in the blank.
Question 17 of 20
1.0 Points
A multiple choice quiz consists of 6 questions, each with 4 possible answers. If a student guesses at
the answer to each question, then the mean number of correct answers is
A. 6.00
B. 1.50
C. 4.00
D. 10.00
Question 18 of 20
A die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled.
1.0 Points
A. 60
B. 50
C. 7.1
D. 5.9
Question 19 of 20
1.0 Points
The failure rate for taking the bar exam in Philadelphia is 41%. If 375 people take the bar exam, what is
the mean for the number of failures?
A. 138.1
B. 171.2
C. 90.7
D. 153.8
Question 20 of 20
1.0 Points
In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random, and
X is the number of voters that support this referendum, find the mean and variance of X. Place the
mean in the first blank
and place the variance in the second blank.