Question 1

The probability of the intersection of two events A and B is denoted by P(A and B) and is called the:

Accepted Answer

A) marginal probability 
B) joint probability 
C) conditional probability of A given B 
D) conditional probability of B given A 
A) marginal probability 
B) joint probability 
C) conditional probability of A given B 
D) conditional probability of B given A

Question 2

The union of events A and B is the event that occurs when either A or B occurs but not both.

Accepted Answer

A) True 
 B)False

Question 3

If P(A) = 0.4 and P(B) = 0.6, then A and B must be mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 4

If P(A) = 0.4 and P(B) = 0.6, then A and B must be collectively exhaustive.

Accepted Answer

A) True 
 B)False

Question 5

The union of events A and B is the event that occurs when either A or B or both occur. It is denoted as 'A or B'.

Accepted Answer

A) True 
 B)False

Question 6

If A and B are mutually exclusive events, with P(A) = 0.20 and P(B) = 0.30, then the probability that both events will occur simultaneously is:

Accepted Answer

A) 0.50 
B) 0.06 
C) 0 
D) None of these choices. 
A) 0.50 
B) 0.06 
C) 0 
D) None of these choices.

Question 7

If P(A) = 0.35, P(B) = 0.45, and P(A and B) = 0.25, then P(A|B) is:

Accepted Answer

A) 1.4 
B) 1.8 
C) 0.714 
D) 0.556 
A) 1.4 
B) 1.8 
C) 0.714 
D) 0.556

Question 8

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?

Accepted Answer

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

Question 9

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 has GPA over 3.0?

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

If P(A) = 0.65, P(B) = 0.58, and P(A and B) = 0.76, then P(A or B) is:

Accepted Answer

A) 1.23 
B) 0.47 
C) 0.24 
D) None of these choices. 
A) 1.23 
B) 0.47 
C) 0.24 
D) None of these choices.

Question 12

Prior probability of an event is the probability of the event before any information affecting it is given.

Accepted Answer

A) True 
 B)False

Question 13

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 40 minutes late, what is the probability that it was service B?

Accepted Answer

P(B|O^c) = P(B and O^c)

Question 14

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} If the student selected is in the upper class, what is the probability that her GPA is between 2.0 and 3.0?

Accepted Answer

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

Question 15

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 they all major in accounting?

Accepted Answer

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

Question 16

NARRBEGIN: Hobby Shop Sales
Hobby Shop Sales
Sales records of a hobby shop showed the following number of radio controlled trucks sold weekly for each of the last 50 weeks. $$\begin{array} { | c | c | } 
\hline \text { Number of Trucks Sold } & \text { Number of Weeks } \
\hline 0 & 20 \
1 & 15 \
2 & 10 \
3 & 4 \
4 & 1 \
\hline
\end{array}$$ NARREND
-{Hobby Shop Sales Narrative} List the outcomes in the sample space.

Accepted Answer

The answer of NARRBEGIN: Hobby Shop Sales
Hobby Shop Sales
Sales records...

Question 17

If you roll a balanced die 50 times, you should expect an even number to appear:

Accepted Answer

A) on every other roll. 
B) exactly 50 times out of 100 rolls. 
C) 25 times on average, over the long term. 
D) All of these choices are true. 
A) on every other roll. 
B) exactly 50 times out of 100 rolls. 
C) 25 times on average, over the long term. 
D) All of these choices are true.

Question 18

If A and B are independent events with P(A) = 0.35 and P(B) = 0.55, then P(A|B) is 0.35/0.55 = .64.

Accepted Answer

A) True 
 B)False

Question 19

NARRBEGIN: Tea and Seltzer
Tea and Seltzer
Suppose 55 percent of adults drink tea, 45 percent drink seltzer, and 10 percent drink both.NARREND
-{Tea and Seltzer Narrative} What is the probability that a randomly chosen adult doesn't drink tea or seltzer?

Accepted Answer

The answer of NARRBEGIN: Tea and Seltzer
Tea and Seltzer
Suppose 55...

Question 20

Bayes' Law says that P(A|B) = P(B|A)P(A).

Accepted Answer

A) True 
 B)False

The probability of the intersection of two events A and B is denoted by P(A and B) and is called the:

The union of events A and B is the event that occurs when either A or B occurs but not both.

If P(A) = 0.4 and P(B) = 0.6, then A and B must be mutually exclusive.

If P(A) = 0.4 and P(B) = 0.6, then A and B must be collectively exhaustive.

The union of events A and B is the event that occurs when either A or B or both occur. It is denoted as 'A or B'.

If A and B are mutually exclusive events, with P(A) = 0.20 and P(B) = 0.30, then the probability that both events will occur simultaneously is:

If P(A) = 0.35, P(B) = 0.45, and P(A and B) = 0.25, then P(A|B) is:

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

If P(A) = 0.65, P(B) = 0.58, and P(A and B) = 0.76, then P(A or B) is:

Prior probability of an event is the probability of the event before any information affecting it is given.

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 they all major in accounting?

If you roll a balanced die 50 times, you should expect an even number to appear:

If A and B are independent events with P(A) = 0.35 and P(B) = 0.55, then P(A|B) is 0.35/0.55 = .64.

NARRBEGIN: Tea and Seltzer Tea and Seltzer Suppose 55 percent of adults drink tea, 45 percent drink seltzer, and 10 percent drink both.NARREND -{Tea and Seltzer Narrative} What is the probability that a randomly chosen adult doesn't drink tea or seltzer?

Bayes' Law says that P(A|B) = P(B|A)P(A).

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 probability of the intersection of two events A and B is denoted by P(A and B) and is called the:

The union of events A and B is the event that occurs when either A or B occurs but not both.

If P(A) = 0.4 and P(B) = 0.6, then A and B must be mutually exclusive.

If P(A) = 0.4 and P(B) = 0.6, then A and B must be collectively exhaustive.

The union of events A and B is the event that occurs when either A or B or both occur. It is denoted as 'A or B'.

If A and B are mutually exclusive events, with P(A) = 0.20 and P(B) = 0.30, then the probability that both events will occur simultaneously is:

If P(A) = 0.35, P(B) = 0.45, and P(A and B) = 0.25, then P(A|B) is:

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

If P(A) = 0.65, P(B) = 0.58, and P(A and B) = 0.76, then P(A or B) is:

Prior probability of an event is the probability of the event before any information affecting it is given.

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 they all major in accounting?

If you roll a balanced die 50 times, you should expect an even number to appear:

If A and B are independent events with P(A) = 0.35 and P(B) = 0.55, then P(A|B) is 0.35/0.55 = .64.

NARRBEGIN: Tea and Seltzer Tea and Seltzer Suppose 55 percent of adults drink tea, 45 percent drink seltzer, and 10 percent drink both.NARREND -{Tea and Seltzer Narrative} What is the probability that a randomly chosen adult doesn't drink tea or seltzer?

Bayes' Law says that P(A|B) = P(B|A)P(A).

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