Question 1

If joint, marginal, and conditional probabilities are available, only joint probabilities can be used to determine whether two events are dependent or independent.

Accepted Answer

A) True 
 B)False

Question 2

NARRBEGIN: CertificationTest
Certification Test
A standard certification test was given at three locations. 1,000 candidates took the test at location A, 600 candidates at location B, and 400 candidates at location C. The percentages of candidates from locations A, B, and C who passed the test were 70%, 68%, and 77%, respectively. One candidate is selected at random from among those who took the test.NARREND
-{Certification Test Narrative} What is the probability that the selected candidate passed the test?

Accepted Answer

(.5)(.7) +

Question 3

The probability of event A gives event B is denoted by

Accepted Answer

A) P(A and 
B)  
B) P(A or 
B)  
C) P(A|
B)  
D) P(B|
A)  
A) P(A and 
B)  
B) P(A or 
B)  
C) P(A|
B)  
D) P(B|
A)

Question 4

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 B?

Accepted Answer

P(B|O) = P

Question 5

Which of the following statements is false regarding a scenario using Bayes' Law?

Accepted Answer

A) Prior probabilities are called likelihood probabilities. 
B) Conditional probabilities are called posterior probabilities. 
C) Posterior probabilities are calculated by using prior probabilities that have been modified based on new information. 
D) None of these choices. 
A) Prior probabilities are called likelihood probabilities. 
B) Conditional probabilities are called posterior probabilities. 
C) Posterior probabilities are calculated by using prior probabilities that have been modified based on new information. 
D) None of these choices.

Question 6

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 multiple vehicles were involved, what proportion of accidents involved alcohol?

Accepted Answer

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

Question 7

Which of the following is a requirement of the probabilities assigned to outcome Oi?

Accepted Answer

A) P(Oi) $\le$ 0 for each i 
B) P(Oi) $\ge$ 1 for each i 
C) 0 $\le$ P(Oi) $\le$ 1 for each i 
D) P(Oi) = 1 for each i 
A) P(Oi) $\le$ 0 for each i 
B) P(Oi) $\ge$ 1 for each i 
C) 0 $\le$ P(Oi) $\le$ 1 for each i 
D) P(Oi) = 1 for each i

Question 8

NARRBEGIN: Pets
Cars
Suppose X = the number of cars owned by a family in the U.S. The probability distribution of X is shown in the table below. $\begin{array}{|l|c|c|c|c|}
\hline X & 0 & 1 & 2 & 3 \
\hline \text { Probability } & 0.56 & 0.23 & 0.12 & 0.09\\hline
\end{array}$ NARREND
-{Car Narrative}What is the chance that a family owns more than one car?

Accepted Answer

A) 0.23 
B) 0.21 
C) 0.44 
D) None of these choices. 
A) 0.23 
B) 0.21 
C) 0.44 
D) None of these choices.

Question 9

If P(A) = 0.25 and P(B) = 0.65, then P(A and B) is:

Accepted Answer

A) 0.25 
B) 0.40 
C) 0.90 
D) cannot be determined from the information given 
A) 0.25 
B) 0.40 
C) 0.90 
D) cannot be determined from the information given

Question 10

We can apply the multiplication rule to compute the probability that two events occur at the same time.

Accepted Answer

A) True 
 B)False

Question 11

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 A?

Accepted Answer

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

Question 12

Suppose P(A) = 0.60, P(B) = 0.85, and A and B are independent. The probability of the complement of the event (A and B) is:

Accepted Answer

A) .4 * .15 = .060 
B) 0.40 + .15 = .55 
C) 1 -(.40 + .15) = .45 
D) 1 - (.6 * .85) = .490 
A) .4 * .15 = .060 
B) 0.40 + .15 = .55 
C) 1 -(.40 + .15) = .45 
D) 1 - (.6 * .85) = .490

Question 13

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} What proportion of accidents involved more than one vehicle?

Accepted Answer

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

Question 14

Suppose two events A and B are related. The ____________________ probability of A is the probability that A occurs, regardless of whether event B occurred or not.

Accepted Answer

The answer of Suppose two events A and B are...

Question 15

The probability of the intersection is called a joint probability.

Accepted Answer

A) True 
 B)False

Question 16

If A and B are independent events with P(A) = .40 and P(B) = .50, then P(A and B) = .20.

Accepted Answer

A) True 
 B)False

Question 17

If either event A or event B must occur, then A and B are mutually exclusive and collectively exhaustive events.

Accepted Answer

A) True 
 B)False

Question 18

Bayes' Law allows us to compute conditional probabilities from other forms of probability.

Accepted Answer

A) True 
 B)False

Question 19

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 exactly one majors in accounting?

Accepted Answer

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

Question 20

If events A and B are independent then:

Accepted Answer

A) P(A and 
B)  = P(
A)  * P(
B)  
B) P(A and 
B)  = P(
A)  + P(
B)  
C) P(B|
A)  = P(
A)  
D) None of these choices. 
A) P(A and 
B)  = P(
A)  * P(
B)  
B) P(A and 
B)  = P(
A)  + P(
B)  
C) P(B|
A)  = P(
A)  
D) None of these choices.

If joint, marginal, and conditional probabilities are available, only joint probabilities can be used to determine whether two events are dependent or independent.

The probability of event A gives event B is denoted by

Which of the following statements is false regarding a scenario using Bayes' Law?

Which of the following is a requirement of the probabilities assigned to outcome O_i?

NARRBEGIN: Pets Cars Suppose X = the number of cars owned by a family in the U.S. The probability distribution of X is shown in the table below. X 0 1 2 3 Probability 0.56 0.23 0.12 0.09 NARREND -{Car Narrative}What is the chance that a family owns more than one car?

If P(A) = 0.25 and P(B) = 0.65, then P(A and B) is:

We can apply the multiplication rule to compute the probability that two events occur at the same time.

Suppose P(A) = 0.60, P(B) = 0.85, and A and B are independent. The probability of the complement of the event (A and B) is:

Suppose two events A and B are related. The ____________________ probability of A is the probability that A occurs, regardless of whether event B occurred or not.

The probability of the intersection is called a joint probability.

If A and B are independent events with P(A) = .40 and P(B) = .50, then P(A and B) = .20.

If either event A or event B must occur, then A and B are mutually exclusive and collectively exhaustive events.

Bayes' Law allows us to compute conditional probabilities from other forms of probability.

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 exactly one majors in accounting?

If events A and B are independent then:

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

If joint, marginal, and conditional probabilities are available, only joint probabilities can be used to determine whether two events are dependent or independent.

The probability of event A gives event B is denoted by

Which of the following statements is false regarding a scenario using Bayes' Law?

Which of the following is a requirement of the probabilities assigned to outcome Oi?

NARRBEGIN: Pets Cars Suppose X = the number of cars owned by a family in the U.S. The probability distribution of X is shown in the table below. X 0 1 2 3 Probability 0.56 0.23 0.12 0.09 NARREND -{Car Narrative}What is the chance that a family owns more than one car?

If P(A) = 0.25 and P(B) = 0.65, then P(A and B) is:

We can apply the multiplication rule to compute the probability that two events occur at the same time.

Suppose P(A) = 0.60, P(B) = 0.85, and A and B are independent. The probability of the complement of the event (A and B) is:

Suppose two events A and B are related. The ____________________ probability of A is the probability that A occurs, regardless of whether event B occurred or not.

The probability of the intersection is called a joint probability.

If A and B are independent events with P(A) = .40 and P(B) = .50, then P(A and B) = .20.

If either event A or event B must occur, then A and B are mutually exclusive and collectively exhaustive events.

Bayes' Law allows us to compute conditional probabilities from other forms of probability.

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 exactly one majors in accounting?

If events A and B are independent then:

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

Which of the following is a requirement of the probabilities assigned to outcome O_i?