Question 1

The set of all possible outcomes of an experiment is

Accepted Answer

A)  an experiment 
B)  an event 
C)  the population 
D)  the sample space 
A)  an experiment 
B)  an event 
C)  the population 
D)  the sample space

Question 2

If a penny is tossed four times and comes up heads all three times, the probability of heads on the fourth trial is

Accepted Answer

A)  zero 
B)  0.0625 
C)  0.5000 
D)  larger than the probability of tails 
A)  zero 
B)  0.0625 
C)  0.5000 
D)  larger than the probability of tails

Question 3

A student has selected 8 books that she likes, but she has money only for 3 books. How many possible selections does she have?

Accepted Answer

A)  24 
B)  240 
C)  8 
D)  56 
A)  24 
B)  240 
C)  8 
D)  56

Question 4

If PA) = 0.68, PA ∪ B) = 0.91, and PA ∩ B) = 0.35, then PB) =

Accepted Answer

A)  0.22 
B)  0.09 
C)  0.65 
D)  0.58 
A)  0.22 
B)  0.09 
C)  0.65 
D)  0.58

Question 5

The symbol ∩ shows the

Accepted Answer

A)  union of events 
B)  intersection of two events 
C)  sum of the probabilities of events 
D)  sample space 
A)  union of events 
B)  intersection of two events 
C)  sum of the probabilities of events 
D)  sample space

Question 6

Assume you have applied for two jobs A and B. The probability that you get an offer for job A is 0.23. The probability of being offered job B is 0.19. The probability of getting at least one of the jobs is 0.38.
a. What is the probability that you will be offered both jobs?
b. Are events A and B mutually exclusive? Why or why not? Explain.

Accepted Answer

a. 0.04
b.

Question 7

If A and B are independent events, then

Accepted Answer

A)  P
A)  must be equal to P
B)  
B)  P
A)  must be greater than P
B)  
C)  P
A)  must be less than P
B)  
D)  P
A)  must be equal to PA│
B)  
A)  P
A)  must be equal to P
B)  
B)  P
A)  must be greater than P
B)  
C)  P
A)  must be less than P
B)  
D)  P
A)  must be equal to PA│
B)

Question 8

The intersection of two mutually exclusive events

Accepted Answer

A)  can be any value between 0 to 1 
B)  must always be equal to 1 
C)  must always be equal to 0 
D)  can be any positive value 
A)  can be any value between 0 to 1 
B)  must always be equal to 1 
C)  must always be equal to 0 
D)  can be any positive value

Question 9

A committee of 4 is to be selected from a group of 12 people. How many possible committees can be selected?

Accepted Answer

The answer of A committee of 4 is to be...

Question 10

On a recent holiday evening, a sample of 500 drivers was stopped by the police. Three hundred were under 30 years of age. A total of 250 were under the influence of alcohol. Of the drivers under 30 years of age, 200 were under the influence of alcohol.
Let A be the event that a driver is under the influence of alcohol. Let Y be the event that a driver is less than 30 years old.
a. Determine PA) and PY).
b. What is the probability that a driver is under 30 and not under the influence of alcohol?
c. Given that a driver is not under 30, what is the probability that he/she is under the influence of alcohol?
d. What is the probability that a driver is under the influence of alcohol, when we know the driver is under 30?
e. Show the joint probability table.
f. Are A and Y mutually exclusive events? Explain.
g. Are A and Y independent events? Explain.

Accepted Answer

a. PY) = 0.6 PA) = 0.5
b. 0.2

Question 11

Some of the CDs produced by a manufacturer are defective. From the production line, 5 CDs are selected and inspected. How many sample points exist in this experiment?

Accepted Answer

A)  10 
B)  25 
C)  30 
D)  32 
A)  10 
B)  25 
C)  30 
D)  32

Question 12

You are applying for graduate school at University A. In the past 42% of the applicants to this university have been accepted. It is also known that 70% of those students who have been accepted have had GMAT scores in excess of 550 while 40% of the students who were not accepted had GMAT scores in excess of 550. You take the GMAT exam and score 640. What is the probability that you will be accepted into graduate school of university A?

Accepted Answer

The answer of You are applying for graduate school at...

Question 13

The range of probability is

Accepted Answer

A)  any value larger than zero 
B)  any value between minus infinity to plus infinity 
C)  zero to one 
D)  any value between -1 to 1 
A)  any value larger than zero 
B)  any value between minus infinity to plus infinity 
C)  zero to one 
D)  any value between -1 to 1

Question 14

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

Accepted Answer

A)  zero 
B)  1/16 
C)  1/2 
D)  larger than the probability of tails 
A)  zero 
B)  1/16 
C)  1/2 
D)  larger than the probability of tails

Question 15

The sum of the probabilities of two complementary events is

Accepted Answer

A)  Zero 
B)  0.5 
C)  0.57 
D)  1.0 
A)  Zero 
B)  0.5 
C)  0.57 
D)  1.0

Question 16

Tammy is a general contractor and has submitted two bids for two projects A and B). The probability of getting project A is 0.65. The probability of getting project B is 0.77. The probability of getting at least one of the projects is 0.90.
a. What is the probability that she will get both projects?
b. Are the events of getting the two projects mutually exclusive? Explain, using probabilities.
c. Are the two events independent? Explain, using probabilities.

Accepted Answer

a. 0.52
b. No, the i

Question 17

The symbol ∪ shows the

Accepted Answer

A)  union of events 
B)  intersection of two events 
C)  sum of the probabilities of events 
D)  sample space 
A)  union of events 
B)  intersection of two events 
C)  sum of the probabilities of events 
D)  sample space

Question 18

Assuming that each of the 52 cards in an ordinary deck has a probability of 1/52 of being drawn, what is the probability of drawing a jack?

Accepted Answer

A)  1/52 
B)  2/52 
C)  3/52 
D)  4/52 
A)  1/52 
B)  2/52 
C)  3/52 
D)  4/52

Question 19

In a recent survey of computer ownership, 73.4% of the respondents indicated they own PC computers, while 21.8% indicated they own both PC and Mac computers, and 80.1% said they own at least one of the two computers.
a. What is the probability that a respondent owns a Mac computer?
b. Given that a respondent owns a PC, what is the probability that the respondent also owns a Mac?
c. Are events "P" and "M" mutually exclusive? Why or why not? Explain using probabilities.
d. Are the two events "P" and "M" independent? Explain, using probabilities.

Accepted Answer

a. 0.285
b. 0.297
c.

Question 20

If PA) = 0.62, PB) = 0.47, and PA ∪ B) = 0.88, then PA ∩ B) =

Accepted Answer

A)  0.2914 
B)  1.9700 
C)  0.6700 
D)  0.2100 
A)  0.2914 
B)  1.9700 
C)  0.6700 
D)  0.2100

The set of all possible outcomes of an experiment is

If a penny is tossed four times and comes up heads all three times, the probability of heads on the fourth trial is

A student has selected 8 books that she likes, but she has money only for 3 books. How many possible selections does she have?

If PA) = 0.68, PA ∪ B) = 0.91, and PA ∩ B) = 0.35, then PB) =

The symbol ∩ shows the

If A and B are independent events, then

The intersection of two mutually exclusive events

A committee of 4 is to be selected from a group of 12 people. How many possible committees can be selected?

Some of the CDs produced by a manufacturer are defective. From the production line, 5 CDs are selected and inspected. How many sample points exist in this experiment?

The range of probability is

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

The sum of the probabilities of two complementary events is

The symbol ∪ shows the

Assuming that each of the 52 cards in an ordinary deck has a probability of 1/52 of being drawn, what is the probability of drawing a jack?

If PA) = 0.62, PB) = 0.47, and PA ∪ B) = 0.88, then PA ∩ B) =

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Filters

Exam 4: Introduction to Probability

The set of all possible outcomes of an experiment is

If a penny is tossed four times and comes up heads all three times, the probability of heads on the fourth trial is

A student has selected 8 books that she likes, but she has money only for 3 books. How many possible selections does she have?

If PA) = 0.68, PA ∪ B) = 0.91, and PA ∩ B) = 0.35, then PB) =

The symbol ∩ shows the

If A and B are independent events, then

The intersection of two mutually exclusive events

A committee of 4 is to be selected from a group of 12 people. How many possible committees can be selected?

Some of the CDs produced by a manufacturer are defective. From the production line, 5 CDs are selected and inspected. How many sample points exist in this experiment?

The range of probability is

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

The sum of the probabilities of two complementary events is

The symbol ∪ shows the

Assuming that each of the 52 cards in an ordinary deck has a probability of 1/52 of being drawn, what is the probability of drawing a jack?

If PA) = 0.62, PB) = 0.47, and PA ∪ B) = 0.88, then PA ∩ B) =

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Filters