Question 1

Which of the following statements is not true?

Accepted Answer

A) Two events A and B are mutually exclusive if event A occurs and event B cannot occur. 
B) If events A and B occur at the same time,then A and B intersect. 
C) If event A does not occur,then its complement   
will also not occur. 
D) A union of events occurs when at least one event in a group occurs. 
A) Two events A and B are mutually exclusive if event A occurs and event B cannot occur. 
B) If events A and B occur at the same time,then A and B intersect. 
C) If event A does not occur,then its complement   
will also not occur. 
D) A union of events occurs when at least one event in a group occurs.

Question 2

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven.
-What is   ∩ B?

Accepted Answer

A) [9,11] 
B) [2,3,4,6] 
C) [5,7,8,10,12] 
D) [3,5] 
A) [9,11] 
B) [2,3,4,6] 
C) [5,7,8,10,12] 
D) [3,5]

Question 3

The result given by the ratio of the probability of an event divided by the probability of its complement is called the:

Accepted Answer

A) odds in favor. 
B) return on investment. 
C) profit ratio. 
D) marginal probabilities. 
A) odds in favor. 
B) return on investment. 
C) profit ratio. 
D) marginal probabilities.

Question 4

What is P(   A)?|

Accepted Answer

P( @#IMG-DLM& | A)=

Question 5

Events whose probability of their intersection is the product of their individual probabilities and is more than 0 are called:

Accepted Answer

A) mutually exclusive. 
B) complement. 
C) conditional. 
D) independent. 
A) mutually exclusive. 
B) complement. 
C) conditional. 
D) independent.

Question 6

The number of combinations of x objects chosen from n is equal to the number of combinations of
(n - x)objects chosen from n,where 1 ≤ x ≤ (n - 1).

Accepted Answer

A) True 
 B)False

Question 7

Suppose we select a supporter of US policy in Iraq,what is the probability that the person we select is female?

Accepted Answer

Event S: Supports US policy in

Question 8

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A company wishes to evaluate the effectiveness of a marketing campaign.Seventy five percent of all potential professors were reached in a focused advertising program.Twenty eight percent of those contacted adopted the book while 8% of the adoptions came from professors who did not receive the promotional material.Define the following events of interest:
AS1U1B11S1U1B0 = Professor received advertising material
AS1U1B12S1U1B0 = Professor did not receive advertising material
BS1U1B11S1U1B0 = Professor adopts the book
BS1U1B12S1U1B0 = Professor does not adopt the book
-What is the probability that a professor who adopts the book has not received the advertising material?

Accepted Answer

P(A₁)= 0.75,P(A₂)= 1 - 0.75 = 0.

Question 9

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider a sample space defined by events AS1U1B11S1U1B0,AS1U1B12S1U1B0,BS1U1B11S1U1B0,BS1U1B12S1U1B0.Let P(AS1U1B11S1U1B0)= 0.40 ,P(BS1U1B11S1U1B0 ∣ AS1U1B11S1U1B0)= 0.60
and P(BS1U1B11S1U1B0 ∣ AS1U1B12S1U1B0)= 0.70
-What is P(B2 ∣ A2)?

Accepted Answer

P(B₁ ∣ A₁)= 0.60 = P(B₁ ∩ A₁)/P(A₁)⇒ P(B₁ ∩ A₁)

Question 10

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider a sample space defined by events AS1U1B11S1U1B0,AS1U1B12S1U1B0,BS1U1B11S1U1B0,BS1U1B12S1U1B0.Let P(AS1U1B11S1U1B0)= 0.40 ,P(BS1U1B11S1U1B0 ∣ AS1U1B11S1U1B0)= 0.60
and P(BS1U1B11S1U1B0 ∣ AS1U1B12S1U1B0)= 0.70
-What is P(B1)?

Accepted Answer

P(B₁ | A₁)= 0.60 = P(B₁ ∩ A₁)/ P(A

Question 11

An empty set results from mutually exclusive outcomes.

Accepted Answer

A) True 
 B)False

Question 12

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Three airlines serve a small town in Indiana.Airline A has 60% of all the scheduled flights,airline B has 30%,and airline C has the remaining 10%.Their on-time rates are 80%,60%,and 49% respectively.Define event D as an airline arrives on time.
-Calculate the probability that a plane leaves on time.

Accepted Answer

P(D)= P(A ∩ D)+ P(B

Question 13

The probability that a person has an Internet connection at home is 34%.The probability that they have access to the Internet at work is 40%.The probability that a person who has access to the Internet at work also has access at home is 55%.What is the probability that a person with an Internet connection at home also has one at work?

Accepted Answer

H = Internet at home
W = Inter

Question 14

In a longitudinal economic development study,market research indicated that the odds of a new business succeeding after five years are 1 to 9.That means that the probability of a business actually succeeding is:

Accepted Answer

A) 0.11 
B) 0.10 
C) 0.09 
D) 0.08 
A) 0.11 
B) 0.10 
C) 0.09 
D) 0.08

Question 15

Are the events "firm from the South" and "expects high growth" statistically independent?

Accepted Answer

A) Yes 
B) No 
C) Maybe 
D) Unable to tell from the data 
A) Yes 
B) No 
C) Maybe 
D) Unable to tell from the data

Question 16

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
In a recent survey about US policy in Iraq,62 % of the respondents said that they support US policy in Iraq.Females comprised 53% of the sample,and of the females,46% supported US policy in Iraq.A person is selected at random.
-Are the events "does not support U.S,policy in Iraq" and "female" statistically independent? Why or why not?

Accepted Answer

Event S: Supports US policy in Iraq,Even

Question 17

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A student has access to professor evaluations.Overall,he has enjoyed 70% of all classes he has taken.He finds that of the courses he has enjoyed,13% were taught by professors with poor evaluations.84% of the courses he has taken were taught by professors with good evaluations.
-What is the probability that the class was taught by a professor with poor evaluations and that the student enjoyed the class?

Accepted Answer

Event A: Student enjoyed class

Question 18

If P(A)= 0.35 and P(B)= 0.65,then A and B must be mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 19

Are events A and B collectively exhaustive? Why?

Accepted Answer

No,since (

Question 20

Bayes' Theorem is a formula for revising an initial (prior)probability value on the basis of results obtained by an empirical investigation and ,thus,for obtaining a new (posterior)probability value.

Accepted Answer

A) True 
 B)False

Which of the following statements is not true?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is ∩ B?

The result given by the ratio of the probability of an event divided by the probability of its complement is called the:

What is P( A)?|

Events whose probability of their intersection is the product of their individual probabilities and is more than 0 are called:

The number of combinations of x objects chosen from n is equal to the number of combinations of (n - x)objects chosen from n,where 1 ≤ x ≤ (n - 1).

Suppose we select a supporter of US policy in Iraq,what is the probability that the person we select is female?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a sample space defined by events A₁,A₂,B₁,B₂.Let P(A₁)= 0.40 ,P(B₁ ∣ A₁)= 0.60 and P(B₁ ∣ A₂)= 0.70 -What is P(B₂ ∣ A₂)?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a sample space defined by events A₁,A₂,B₁,B₂.Let P(A₁)= 0.40 ,P(B₁ ∣ A₁)= 0.60 and P(B₁ ∣ A₂)= 0.70 -What is P(B₁)?

An empty set results from mutually exclusive outcomes.

In a longitudinal economic development study,market research indicated that the odds of a new business succeeding after five years are 1 to 9.That means that the probability of a business actually succeeding is:

Are the events "firm from the South" and "expects high growth" statistically independent?

If P(A)= 0.35 and P(B)= 0.65,then A and B must be mutually exclusive.

Are events A and B collectively exhaustive? Why?

Bayes' Theorem is a formula for revising an initial (prior)probability value on the basis of results obtained by an empirical investigation and ,thus,for obtaining a new (posterior)probability value.

Describing Data: Graphical

Describing Data: Numerical

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

Exam 3: Probability

Which of the following statements is not true?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose you roll a pair of dice.Let A be the event that you observe an even number.Let B be the event that you observe a number greater than seven. -What is ∩ B?

The result given by the ratio of the probability of an event divided by the probability of its complement is called the:

What is P( A)?|

Events whose probability of their intersection is the product of their individual probabilities and is more than 0 are called:

The number of combinations of x objects chosen from n is equal to the number of combinations of (n - x)objects chosen from n,where 1 ≤ x ≤ (n - 1).

Suppose we select a supporter of US policy in Iraq,what is the probability that the person we select is female?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a sample space defined by events A1,A2,B1,B2.Let P(A1)= 0.40 ,P(B1 ∣ A1)= 0.60 and P(B1 ∣ A2)= 0.70 -What is P(B2 ∣ A2)?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a sample space defined by events A1,A2,B1,B2.Let P(A1)= 0.40 ,P(B1 ∣ A1)= 0.60 and P(B1 ∣ A2)= 0.70 -What is P(B1)?

An empty set results from mutually exclusive outcomes.

In a longitudinal economic development study,market research indicated that the odds of a new business succeeding after five years are 1 to 9.That means that the probability of a business actually succeeding is:

Are the events "firm from the South" and "expects high growth" statistically independent?

If P(A)= 0.35 and P(B)= 0.65,then A and B must be mutually exclusive.

Are events A and B collectively exhaustive? Why?

Bayes' Theorem is a formula for revising an initial (prior)probability value on the basis of results obtained by an empirical investigation and ,thus,for obtaining a new (posterior)probability value.

Describing Data: Graphical

Describing Data: Numerical

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a sample space defined by events A₁,A₂,B₁,B₂.Let P(A₁)= 0.40 ,P(B₁ ∣ A₁)= 0.60 and P(B₁ ∣ A₂)= 0.70 -What is P(B₂ ∣ A₂)?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a sample space defined by events A₁,A₂,B₁,B₂.Let P(A₁)= 0.40 ,P(B₁ ∣ A₁)= 0.60 and P(B₁ ∣ A₂)= 0.70 -What is P(B₁)?