Question 1

The outcomes of a sample space must be ____________________, which means that no two outcomes can occur at the same time.

Accepted Answer

The answer of The outcomes of a sample space must...

Question 2

NARRBEGIN: Drunk Drivers
Drunk Drivers
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:
 $$\begin{array}{l}
\text { number of Vehieles inovelved }\
\begin{array} { | l | c c c | c | } 
\hline \text { Did alohol play a role? } & 1 & 2 & 3 & \text { Totals } \
\hline \text { Yes } & 75 & 125 & 50 & 250 \
\text { No } & 50 & 225 & 75 & 350 \
\hline \text { Totals } & 125 & 350 & 125 & 600 \
\hline
\end{array}
\end{array}$$ NARREND
-{Drunk Drivers Narrative} If alcohol was not involved, what proportion of the accidents were multiple vehicle?

Accepted Answer

The answer of NARRBEGIN: Drunk Drivers
Drunk Drivers
Five hundred accidents that...

Question 3

You think you have a 90% chance of passing your next advanced financial accounting exam. This is an example of subjective approach to probability.

Accepted Answer

A) True 
 B)False

Question 4

NARRBEGIN: College Professorship
College Professorship
A Ph.D. graduate has applied for a job with two colleges: A and B. The graduate feels that she has a 60% chance of receiving an offer from college A and a 50% chance of receiving an offer from college B. If she receives an offer from college B, she believes that she has an 80% chance of receiving an offer from college A. Let A = receiving an offer from college A, and let B = receiving an offer from college B.NARREND
-A survey of a magazine's subscribers indicates that 50% own a house, 80% own a car, and 90% of the homeowners also own a car. What proportion of subscribers:
a.own both a car and a house?
b.own a car or a house, or both?
c.own neither a car nor a house?

Accepted Answer

a.0.45
b.0

Question 5

NARRBEGIN: Construction Bids
Construction Bids
A construction company has submitted bids on two separate state contracts, A and B. The company feels that it has a 60% chance of winning contract A, and a 50% chance of winning contract B. Furthermore, the company believes that it has an 80% chance of winning contract A if it wins contract B.NARREND
-{Construction Bids Narrative} If the company wins contract B, what is the probability that it will not win contract A?

Accepted Answer

P(A^c|B) = 1

Question 6

Bayes' Law can be used to calculate posterior probabilities, prior probabilities, as well as new conditional probabilities.

Accepted Answer

A) True 
 B)False

Question 7

Julius and Gabe go to a show during their Spring break and toss a balanced coin to see who will pay for the tickets. The probability that Gabe will pay three days in a row is 0.125.

Accepted Answer

A) True 
 B)False

Question 8

NARRBEGIN: Drunk Drivers
Drunk Drivers
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:
 $$\begin{array}{l}
\text { number of Vehieles inovelved }\
\begin{array} { | l | c c c | c | } 
\hline \text { Did alohol play a role? } & 1 & 2 & 3 & \text { Totals } \
\hline \text { Yes } & 75 & 125 & 50 & 250 \
\text { No } & 50 & 225 & 75 & 350 \
\hline \text { Totals } & 125 & 350 & 125 & 600 \
\hline
\end{array}
\end{array}$$ NARREND
-Suppose A and B are two independent events for which P(A) = 0.20 and P(B) = 0.60.
a.Find P(A|B).
b.Find P(B|A).

Accepted Answer

The answer of NARRBEGIN: Drunk Drivers
Drunk Drivers
Five hundred accidents that...

Question 9

If two events are mutually exclusive their joint probability is ____________________.

Accepted Answer

The answer of If two events are mutually exclusive their...

Question 10

NARRBEGIN: Business Majors
Business Majors
Suppose 30% of business majors major in accounting. You take a random sample of 3 business majors.NARREND
-{Business Majors Narrative} What is the chance that none of them major in accounting?

Accepted Answer

The answer of NARRBEGIN: Business Majors
Business Majors
Suppose 30% of business...

Question 11

If A and B are independent, then P(A|B) = ____________________.

Accepted Answer

The answer of If A and B are independent, then...

Question 12

NARRBEGIN: Mutual Fund Price
Mutual Fund Price
An investor estimates that there is a 75% chance that a particular mutual fund's price will increase to $100 per share over the next three weeks, based past data.NARREND
-The sample space of the toss of a balanced coin is S = {1, 2, 3, 4, 5, 6}. If the die is balanced, each simple event (outcome) has the same probability. Find the probability of the following events:
a.Rolling an odd number
b.Rolling a number less than or equal to 3
c.Rolling a number greater than or equal to 5
d.Rolling a number between 2 and 5, inclusive.

Accepted Answer

a.3/6
b.3/

Question 13

Which of the following best describes the concept of marginal probability?

Accepted Answer

A) It is a measure of the likelihood that a particular event will occur, regardless of whether another event occurs. 
B) It is a measure of the likelihood that a particular event will occur, if another event has already occurred. 
C) It is a measure of the likelihood of the simultaneous occurrence of two or more events. 
D) None of these choices. 
A) It is a measure of the likelihood that a particular event will occur, regardless of whether another event occurs. 
B) It is a measure of the likelihood that a particular event will occur, if another event has already occurred. 
C) It is a measure of the likelihood of the simultaneous occurrence of two or more events. 
D) None of these choices.

Question 14

Bayes' Law is a formula for revising an initial subjective (prior) probability value on the basis of new results, thus obtaining a new (posterior) probability value.

Accepted Answer

A) True 
 B)False

Question 15

If A and B are ____________________ events, the joint probability of A and B is the product of the probabilities of those two events.

Accepted Answer

The answer of If A and B are ____________________ events,...

Question 16

NARRBEGIN: Construction Bids
Construction Bids
A construction company has submitted bids on two separate state contracts, A and B. The company feels that it has a 60% chance of winning contract A, and a 50% chance of winning contract B. Furthermore, the company believes that it has an 80% chance of winning contract A if it wins contract B.NARREND
-{Construction Bids Narrative} What is the probability that the company will win both contracts?

Accepted Answer

P(B and A)

Question 17

NARRBEGIN: Construction Bids
Construction Bids
A construction company has submitted bids on two separate state contracts, A and B. The company feels that it has a 60% chance of winning contract A, and a 50% chance of winning contract B. Furthermore, the company believes that it has an 80% chance of winning contract A if it wins contract B.NARREND
-{Construction Bids Narrative} What is the probability that the company will win at least one of the two contracts?

Accepted Answer

P(A or B) = P(A) + P

Question 18

NARRBEGIN: Financial Consultants
Financial Consultants
A Financial Consultant has classified his clients according to their gender and the composition of their investment portfolio (primarily bonds, primarily stocks, or a balanced mix of bonds and stocks). The proportions of clients falling into the various categories are shown in the following table:
 $$\begin{array}{l}
\quad\quad\quad\quad\quad\quad\quad\text { Portfolio Composition }\
\begin{array} { | l | c c c | } 
\hline \text { Gender } & \text { Bonds } & \text { Stecks } & \text { Balanced } \
\hline \text { Male } & 0.18 & 0.20 & 0.25 \
\text { Female } & 0.12 & 0.10 & 0.15 \
\hline
\end{array}
\end{array}$$ One client is selected at random, and two events A and B are defined as follows:
A: The client selected is male.B: The client selected has a balanced portfolio.NARREND
-{Financial Consultants Narrative} Express each of the following events in words:
a.A or B
b.A and B

Accepted Answer

a.The client selected either i

Question 19

NARRBEGIN: Messenger Service
Messenger Service
Three messenger services deliver to a small town in Oregon. Service A has 60% of all the scheduled deliveries, service B has 30%, and service C has the remaining 10%. Their on-time rates are 80%, 60%, and 40% respectively. Define event O as a service delivers a package on time.NARREND
-{Messenger Service Narrative} If a package was delivered on time, what is the probability that it was service A?

Accepted Answer

P(A|O) = P

Question 20

If A and B are any two events with P(A) = .8 and P(B|Ac) = .7, then P(Ac and B) is

Accepted Answer

A) 0.56 
B) 0.14 
C) 1.50 
D) None of these choices. 
A) 0.56 
B) 0.14 
C) 1.50 
D) None of these choices.

The outcomes of a sample space must be ____________________, which means that no two outcomes can occur at the same time.

You think you have a 90% chance of passing your next advanced financial accounting exam. This is an example of subjective approach to probability.

Bayes' Law can be used to calculate posterior probabilities, prior probabilities, as well as new conditional probabilities.

Julius and Gabe go to a show during their Spring break and toss a balanced coin to see who will pay for the tickets. The probability that Gabe will pay three days in a row is 0.125.

If two events are mutually exclusive their joint probability is ____________________.

NARRBEGIN: Business Majors Business Majors Suppose 30% of business majors major in accounting. You take a random sample of 3 business majors.NARREND -{Business Majors Narrative} What is the chance that none of them major in accounting?

If A and B are independent, then P(A|B) = ____________________.

Which of the following best describes the concept of marginal probability?

Bayes' Law is a formula for revising an initial subjective (prior) probability value on the basis of new results, thus obtaining a new (posterior) probability value.

If A and B are ____________________ events, the joint probability of A and B is the product of the probabilities of those two events.

If A and B are any two events with P(A) = .8 and P(B|A^c) = .7, then P(A^c and B) is

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 6: Probability

The outcomes of a sample space must be ____________________, which means that no two outcomes can occur at the same time.

You think you have a 90% chance of passing your next advanced financial accounting exam. This is an example of subjective approach to probability.

Bayes' Law can be used to calculate posterior probabilities, prior probabilities, as well as new conditional probabilities.

Julius and Gabe go to a show during their Spring break and toss a balanced coin to see who will pay for the tickets. The probability that Gabe will pay three days in a row is 0.125.

If two events are mutually exclusive their joint probability is ____________________.

NARRBEGIN: Business Majors Business Majors Suppose 30% of business majors major in accounting. You take a random sample of 3 business majors.NARREND -{Business Majors Narrative} What is the chance that none of them major in accounting?

If A and B are independent, then P(A|B) = ____________________.

Which of the following best describes the concept of marginal probability?

Bayes' Law is a formula for revising an initial subjective (prior) probability value on the basis of new results, thus obtaining a new (posterior) probability value.

If A and B are ____________________ events, the joint probability of A and B is the product of the probabilities of those two events.

If A and B are any two events with P(A) = .8 and P(B|Ac) = .7, then P(Ac and B) is

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

If A and B are any two events with P(A) = .8 and P(B|A^c) = .7, then P(A^c and B) is