Question 1

If P (A or B)= 1.0,then A and B must be collectively exhaustive.

Accepted Answer

A) True 
 B)False

Question 2

If two equally likely events A and B are mutually exclusive,what is the probability that event A occurs?

Accepted Answer

A) 0. 
B) 0.50. 
C) 1.00. 
D) Cannot be determined from the information given. 
A) 0. 
B) 0.50. 
C) 1.00. 
D) Cannot be determined from the information given.

Question 3

SCENARIO 4-9
A survey conducted by the Segal Company of New York found that in a sample of 189 large companies,40 offered stock options to their board members as part of their non-cash compensation packages.For small- to mid-sized companies,43 of the 180 surveyed indicated that they offer stock options as part of their noncash compensation packages to their board members.
-Referring to Scenario 4-9,is the size of the company independent of whether stock options are offered to their board members and why?

Accepted Answer

No,because P(stock o

Question 4

SCENARIO 4-4
Suppose that patrons of a restaurant were asked whether they preferred water or whether they preferred soda.70% said that they preferred water.60% of the patrons were male.80% of the males preferred water.
-Referring to Scenario 4-4,the probability a randomly selected patron is a female who prefers water is_____ .

Accepted Answer

The answer of SCENARIO 4-4
Suppose that patrons of a restaurant...

Question 5

Suppose A and B are mutually exclusive events where P(A)= 0.4 and P(B)= 0.5.Then P (A and B)= .

Accepted Answer

The answer of Suppose A and B are mutually exclusive...

Question 6

The probability that house sales will increase in the next 6 months is estimated to be 0.25.The probability that the interest rates on housing loans will go up in the same period is estimated to be 0.74.The probability that house sales or interest rates will go up during the next 6 months is estimated to be 0.89.The probability that neither house sales nor interest rates will increase during the next 6 months is:

Accepted Answer

A) 0.11 
B) 0.195 
C) 0.89 
D) 0.90 
A) 0.11 
B) 0.195 
C) 0.89 
D) 0.90

Question 7

SCENARIO 4-9
A survey conducted by the Segal Company of New York found that in a sample of 189 large companies,40 offered stock options to their board members as part of their non-cash compensation packages.For small- to mid-sized companies,43 of the 180 surveyed indicated that they offer stock options as part of their noncash compensation packages to their board members.
-Referring to Scenario 4-9,set up a contingency table.

Accepted Answer

The answer of SCENARIO 4-9
A survey conducted by the Segal...

Question 8

If A and B cannot occur at the same time they are called mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 9

SCENARIO 4-2
An alcohol awareness task force at a Big-Ten university sampled 200 students after the midterm to ask them whether they went bar hopping the weekend before the midterm or spent the weekend studying,and whether they did well or poorly on the midterm.The following result was obtained.
  
-Referring to Scenario 4-2,the events "Did Well on Midterm" and "Studying for Exam" are

Accepted Answer

A) dependent. 
B) mutually exclusive. 
C) collective exhaustive. 
D) None of the above. 
A) dependent. 
B) mutually exclusive. 
C) collective exhaustive. 
D) None of the above.

Question 10

SCENARIO 4-2
An alcohol awareness task force at a Big-Ten university sampled 200 students after the midterm to ask them whether they went bar hopping the weekend before the midterm or spent the weekend studying,and whether they did well or poorly on the midterm.The following result was obtained.
  
-Referring to Scenario 4-2,the events "Did Well on Midterm" and "Studying for Exam" are

Accepted Answer

A) not dependent. 
B) not mutually exclusive. 
C) collective exhaustive. 
D) None of the above. 
A) not dependent. 
B) not mutually exclusive. 
C) collective exhaustive. 
D) None of the above.

Question 11

A company has 2 machines that produce widgets.An older machine produces 23% defective widgets,while the new machine produces only 8% defective widgets.In addition,the new machine produces 3 times as many widgets as the older machine does.Given a randomly chosen widget was tested and found to be defective,what is the probability it was produced by the new machine?

Accepted Answer

A) 0.08 
B) 0.15 
C) 0.489 
D) 0.511 
A) 0.08 
B) 0.15 
C) 0.489 
D) 0.511

Question 12

If two events are mutually exclusive and collectively exhaustive,what is the probability that both occur?

Accepted Answer

A) 0. 
B) 0.50. 
C) 1.00. 
D) Cannot be determined from the information given. 
A) 0. 
B) 0.50. 
C) 1.00. 
D) Cannot be determined from the information given.

Question 13

SCENARIO 4-8
According to the record of the registrar's office at a state university,35% of the students are freshman,25% are sophomore,16% are junior and the rest are senior.Among the freshmen,sophomores,juniors and seniors,the portion of students who live in the dormitory are,respectively,80%,60%,30% and 20%.
-Referring to Scenario 4-8,if a randomly selected student lives in the dormitory,what is the probability that the student is not a freshman?

Accepted Answer

The answer of SCENARIO 4-8
According to the record of the...

Question 14

The probability that house sales will increase in the next 6 months is estimated to be 0.25.The probability that the interest rates on housing loans will go up in the same period is estimated to be 0.74.The probability that house sales or interest rates will go up during the next 6 months is estimated to be 0.89.The events increase in house sales and increase in interest rates in the next 6 months are

Accepted Answer

A) independent. 
B) mutually exclusive. 
C) collectively exhaustive. 
D) None of the above. 
A) independent. 
B) mutually exclusive. 
C) collectively exhaustive. 
D) None of the above.

Question 15

SCENARIO 4-7
The next state lottery will have the following payoffs possible with their associated probabilities.
  You buy a single ticket.
-Referring to Scenario 4-7,if you have a winning ticket,the probability that you win at least
$100.00 is_____ .

Accepted Answer

The answer of SCENARIO 4-7
The next state lottery will have...

Question 16

SCENARIO 4-5
In a meat packaging plant Machine A accounts for 60% of the plant's output,while Machine B accounts for 40% of the plant's output.In total,4% of the packages are improperly sealed.Also,3% of the packages are from Machine A and are improperly sealed.
-Referring to Scenario 4-5,if a package selected at random is improperly sealed,the probability that it came from machine A is_____ .

Accepted Answer

The answer of SCENARIO 4-5
In a meat packaging plant Machine...

Question 17

If P (A or B)= 1.0,then A and B must be mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 18

If two equally likely events A and B are mutually exclusive and collectively exhaustive,what is the probability that event A occurs?

Accepted Answer

A) 0. 
B) 0.50. 
C) 1.00. 
D) Cannot be determined from the information given. 
A) 0. 
B) 0.50. 
C) 1.00. 
D) Cannot be determined from the information given.

Question 19

If two events are collectively exhaustive,what is the probability that one or the other occurs?

Accepted Answer

A) 0. 
B) 0.50. 
C) 1.00. 
D) Cannot be determined from the information given. 
A) 0. 
B) 0.50. 
C) 1.00. 
D) Cannot be determined from the information given.

Question 20

If events A and B are mutually exclusive and collectively exhaustive,what is the probability that event A occurs?

Accepted Answer

A) 0. 
B) 0.50. 
C) 1.00. 
D) Cannot be determined from the information given. 
A) 0. 
B) 0.50. 
C) 1.00. 
D) Cannot be determined from the information given.

If P (A or B)= 1.0,then A and B must be collectively exhaustive.

If two equally likely events A and B are mutually exclusive,what is the probability that event A occurs?

Suppose A and B are mutually exclusive events where P(A)= 0.4 and P(B)= 0.5.Then P (A and B)= .

If A and B cannot occur at the same time they are called mutually exclusive.

If two events are mutually exclusive and collectively exhaustive,what is the probability that both occur?

SCENARIO 4-7 The next state lottery will have the following payoffs possible with their associated probabilities. You buy a single ticket. -Referring to Scenario 4-7,if you have a winning ticket,the probability that you win at least $100.00 is_____ .

If P (A or B)= 1.0,then A and B must be mutually exclusive.

If two equally likely events A and B are mutually exclusive and collectively exhaustive,what is the probability that event A occurs?

If two events are collectively exhaustive,what is the probability that one or the other occurs?

If events A and B are mutually exclusive and collectively exhaustive,what is the probability that event A occurs?

Defining and Collecting Data

Organizing and Visualizing Variables

Numerical Descriptive Measures

Discrete Probability Distributions

The Normal Distribution and Other Continuous Distributions

Sampling Distributions

Confidence Interval Estimation

Fundamentals of Hypothesis Testing: One-Sample Tests

Two-Sample Tests

Analysis of Variance

Chi-Square and Nonparametric Tests

Simple Linear Regression

Introduction to Multiple Regression

Multiple Regression Model Building

Time-Series Forecasting

Business Analytics

A Roadmap for Analyzing Data

Statistical Applications in Quality Management

Decision Making

Getting Started: Important Things to Learn First

Binomial Distribution and Normal Approximation

Filters

Exam 4: Basic Probability

If P (A or B)= 1.0,then A and B must be collectively exhaustive.

If two equally likely events A and B are mutually exclusive,what is the probability that event A occurs?

Suppose A and B are mutually exclusive events where P(A)= 0.4 and P(B)= 0.5.Then P (A and B)= .

If A and B cannot occur at the same time they are called mutually exclusive.

If two events are mutually exclusive and collectively exhaustive,what is the probability that both occur?

SCENARIO 4-7 The next state lottery will have the following payoffs possible with their associated probabilities. You buy a single ticket. -Referring to Scenario 4-7,if you have a winning ticket,the probability that you win at least $100.00 is_____ .

If P (A or B)= 1.0,then A and B must be mutually exclusive.

If two equally likely events A and B are mutually exclusive and collectively exhaustive,what is the probability that event A occurs?

If two events are collectively exhaustive,what is the probability that one or the other occurs?

If events A and B are mutually exclusive and collectively exhaustive,what is the probability that event A occurs?

Defining and Collecting Data

Organizing and Visualizing Variables

Numerical Descriptive Measures

Discrete Probability Distributions

The Normal Distribution and Other Continuous Distributions

Sampling Distributions

Confidence Interval Estimation

Fundamentals of Hypothesis Testing: One-Sample Tests

Two-Sample Tests

Analysis of Variance

Chi-Square and Nonparametric Tests

Simple Linear Regression

Introduction to Multiple Regression

Multiple Regression Model Building

Time-Series Forecasting

Business Analytics

A Roadmap for Analyzing Data

Statistical Applications in Quality Management

Decision Making

Getting Started: Important Things to Learn First

Binomial Distribution and Normal Approximation

Filters