Question 1

Initial estimates of the probabilities of events are known as:

Accepted Answer

A) joint probabilities 
B) posterior probabilities 
C) prior probabilities 
D) conditional probabilities 
A) joint probabilities 
B) posterior probabilities 
C) prior probabilities 
D) conditional probabilities

Question 2

The collection of all possible outcomes of an experiment is called:

Accepted Answer

A) a simple event 
B) a sample space 
C) a sample 
D) a population 
A) a simple event 
B) a sample space 
C) a sample 
D) a population

Question 3

The ____________________ rule is used to calculate the probability of the union of two events.

Accepted Answer

The answer of The ____________________ rule is used to calculate...

Question 4

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} Given alcohol was involved, what proportion of accidents involved a single vehicle?

Accepted Answer

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

Question 5

A and B are disjoint events, with P(A) = 0.20 and P(B) = 0.30. Then P(A and B) is:

Accepted Answer

A) 0.50 
B) 0.10 
C) 0.00 
D) 0.06 
A) 0.50 
B) 0.10 
C) 0.00 
D) 0.06

Question 6

The intersection of events A and B is the event that occurs when:

Accepted Answer

A) either A or B occurs but not both 
B) neither A nor B occur 
C) both A and B occur 
D) All of these choices are true. 
A) either A or B occurs but not both 
B) neither A nor B occur 
C) both A and B occur 
D) All of these choices are true.

Question 7

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} Calculate P(B and O).

Accepted Answer

P(B and O)

Question 8

NARRBEGIN: Marital Status
Marital Status
An insurance company has collected the following data on the gender and marital status of 300 customers. $$\begin{array}{l}
\quad\quad\quad\quad\quad\quad\quad\text { Marite Status }\
\begin{array} { | l | c c c | } 
\hline \text { Gander } & \text { Single } & \text { Maried } & \text { Divorced } \
\hline \text { Male } & 25 & 125 & 30 \
\text { Female } & 50 & 50 & 20 \
\hline
\end{array}
\end{array}$$ Suppose that a customer is selected at random.NARREND
-{Marital Status Narrative} Find the probability that the customer selected is female or divorced.

Accepted Answer

The answer of NARRBEGIN: Marital Status
Marital Status
An insurance company has...

Question 9

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} Calculate P(A and O).

Accepted Answer

P(A and O)

Question 10

NARRBEGIN: GPA and Class
GPA and Class
A college professor classifies his students according to their grade point average (GPA) and their class rank. GPA is on a 0.0-4.0 scale, and class rank is defined as the under class (freshmen and sophomores) and the upper class (juniors and seniors). One student is selected at random. $$\begin{array} { | l | c c c | } 
\hline&& { \text { GPA } } \
\hline \text { Class } & \text { Under 2.0 } & \text { 2.0- 3. 0 } & \text { Over 3.0 } \
\hline \text { Under } & 0.05 & 0.25 & 0.10 \
\text { Upper } & 0.10 & 0.30 & 0.20\\hline
\end{array}$$ NARREND
-{GPA and Class Narrative} What is the probability that the student is in the lower class and has GPA over 3.0?

Accepted Answer

The answer of NARRBEGIN: GPA and Class
GPA and Class
A college...

Question 11

NARRBEGIN: Cysts
Cysts
After researching cysts of a particular type, a doctor learns that out of 10,000 such cysts examined, 1,500 are malignant and 8,500 are benign. A diagnostic test is available which is accurate 80% of the time (whether the cyst is malignant or not). The doctor has discovered the same type of cyst in a patient.NARREND
-{Cysts Narrative} What is the probability that the patient has a malignant cyst if he or she tests negative?

Accepted Answer

P(M/-) = P(-and M) /

Question 12

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
-{College Professorship Narrative} What is the probability that both colleges will make her an offer?

Accepted Answer

The answer of NARRBEGIN: College Professorship
College Professorship
A Ph.D. graduate has...

Question 13

NARRBEGIN: Club Members
Club Members
A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car.NARREND
-{Club Members Narrative} What is the probability that a subscriber owns both a car and a house?

Accepted Answer

The answer of NARRBEGIN: Club Members
Club Members
A survey of a...

Question 14

P(A|B) is the conditional probability of ____________________ given ____________________.

Accepted Answer

The answer of P(A|B) is the conditional probability of ____________________...

Question 15

Of the last 500 customers entering a supermarket, 50 have purchased a wireless phone. If the relative frequency approach for assigning probabilities is used, the probability that the next customer will purchase a wireless phone is

Accepted Answer

A) 0.10 
B) 0.90 
C) 0.50 
D) None of these choices. 
A) 0.10 
B) 0.90 
C) 0.50 
D) None of these choices.

Question 16

NARRBEGIN: Club Members
Club Members
A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car.NARREND
-{Club Members Narrative} What is the probability that a club member owns a car or a house, or both?

Accepted Answer

The answer of NARRBEGIN: Club Members
Club Members
A survey of a...

Question 17

If either event A or event B must occur, they are called mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 18

Two events A and B are independent if P(A and B) = 0.

Accepted Answer

A) True 
 B)False

Question 19

If A and B are independent events with P(A) = 0.60 and P(B) = 0.70, then P(A or B) equals:

Accepted Answer

A) 1.30 
B) 0.88 
C) 0.42 
D) Cannot tell from the given information. 
A) 1.30 
B) 0.88 
C) 0.42 
D) Cannot tell from the given information.

Question 20

NARRBEGIN: Marital Status
Marital Status
An insurance company has collected the following data on the gender and marital status of 300 customers. $$\begin{array}{l}
\quad\quad\quad\quad\quad\quad\quad\text { Marite Status }\
\begin{array} { | l | c c c | } 
\hline \text { Gander } & \text { Single } & \text { Maried } & \text { Divorced } \
\hline \text { Male } & 25 & 125 & 30 \
\text { Female } & 50 & 50 & 20 \
\hline
\end{array}
\end{array}$$ Suppose that a customer is selected at random.NARREND
-{Marital Status Narrative} Are gender and marital status mutually exclusive? Explain using probabilities.

Accepted Answer

No, since P(female a

Initial estimates of the probabilities of events are known as:

The collection of all possible outcomes of an experiment is called:

The ____________________ rule is used to calculate the probability of the union of two events.

A and B are disjoint events, with P(A) = 0.20 and P(B) = 0.30. Then P(A and B) is:

The intersection of events A and B is the event that occurs when:

NARRBEGIN: Club Members Club Members A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car.NARREND -{Club Members Narrative} What is the probability that a subscriber owns both a car and a house?

P(A|B) is the conditional probability of given .

Of the last 500 customers entering a supermarket, 50 have purchased a wireless phone. If the relative frequency approach for assigning probabilities is used, the probability that the next customer will purchase a wireless phone is

NARRBEGIN: Club Members Club Members A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car.NARREND -{Club Members Narrative} What is the probability that a club member owns a car or a house, or both?

If either event A or event B must occur, they are called mutually exclusive.

Two events A and B are independent if P(A and B) = 0.

If A and B are independent events with P(A) = 0.60 and P(B) = 0.70, then P(A or B) equals:

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

Initial estimates of the probabilities of events are known as:

The collection of all possible outcomes of an experiment is called:

The ____________________ rule is used to calculate the probability of the union of two events.

A and B are disjoint events, with P(A) = 0.20 and P(B) = 0.30. Then P(A and B) is:

The intersection of events A and B is the event that occurs when:

NARRBEGIN: Club Members Club Members A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car.NARREND -{Club Members Narrative} What is the probability that a subscriber owns both a car and a house?

P(A|B) is the conditional probability of ____________________ given ____________________.

Of the last 500 customers entering a supermarket, 50 have purchased a wireless phone. If the relative frequency approach for assigning probabilities is used, the probability that the next customer will purchase a wireless phone is

NARRBEGIN: Club Members Club Members A survey of a club's members indicates that 50% own a home, 80% own a car, and 90% of the homeowners who subscribe also own a car.NARREND -{Club Members Narrative} What is the probability that a club member owns a car or a house, or both?

If either event A or event B must occur, they are called mutually exclusive.

Two events A and B are independent if P(A and B) = 0.

If A and B are independent events with P(A) = 0.60 and P(B) = 0.70, then P(A or B) equals:

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

P(A|B) is the conditional probability of given .