Question 1

The general law of addition is P(X$\cap$Y)= P(X)+ P(Y)- P(X$\cup$Y).

Accepted Answer

A) True 
 B)False

Question 2

In a set of 10 aluminum castings, two castings are defective (D), and the remaining eight are good (G).A quality control inspector randomly selects three of the ten castings with replacement and classifies each as defective (D)or good (G).How large is the sample space?

Accepted Answer

A) 1,000 
B) 720 
C) 100 
D) 10 
E) 3 
A) 1,000 
B) 720 
C) 100 
D) 10 
E) 3

Question 3

Assigning probabilities by dividing the number of ways that an event can occur by the total number of possible outcomes in an experiment is called the relative frequency of occurrence method.

Accepted Answer

A) True 
 B)False

Question 4

The list of all elementary events for an experiment is called ___.

Accepted Answer

A) the sample space 
B) the exhaustive list 
C) the population space 
D) the event union 
E) a frame 
A) the sample space 
B) the exhaustive list 
C) the population space 
D) the event union 
E) a frame

Question 5

It is known that 20% of all students in some large university are overweight, 20% exercise regularly and 2% are overweight and exercise regularly.What is the probability that a randomly selected student is either overweight or exercises regularly or both?

Accepted Answer

A) 0.40 
B) 0.38 
C) 0.20 
D) 0.42 
E) 0.10 
A) 0.40 
B) 0.38 
C) 0.20 
D) 0.42 
E) 0.10

Question 6

If the occurrence of one event does not affect the occurrence of another event, then the two events are mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 7

If the probability that someone likes the color blue is 44% and the probability that among those individuals, the probability that they wake up early is 52%, then the probability that individuals who like the color blue and wake up early is about 23%.

Accepted Answer

A) True 
 B)False

Question 8

Given two events A and B each with a non-zero probability, if the conditional probability of A given B is zero, it implies that the events A and B are independent.

Accepted Answer

A) True 
 B)False

Question 9

Suppose that 3% of all TVs made by a company in 2018 are defective.If 2 of these TVs are randomly selected what is the probability that both are defective?

Accepted Answer

A) 0.0009 
B) 0.0025 
C) 0.0900 
D) 0.0475 
E) 0.19 
A) 0.0009 
B) 0.0025 
C) 0.0900 
D) 0.0475 
E) 0.19

Question 10

If the probability that someone likes the color blue is 44% and the probability that individuals wake up early is 64%, then the probability that individuals who like the color blue and wake up early is about 23%.In this case, the two events are independent.

Accepted Answer

A) True 
 B)False

Question 11

Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course.It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics.Included in these numbers are 15% who are enrolled in both statistics and accounting.A student is randomly selected, what is the probability that the student is enrolled in either accounting or statistics or both?

Accepted Answer

A) 0.15 
B) 0.85 
C) 0.70 
D) 0.55 
E) 0.90 
A) 0.15 
B) 0.85 
C) 0.70 
D) 0.55 
E) 0.90

Question 12

Let A be the event that a student is enrolled in an accounting course, and let S be the event that a student is enrolled in a statistics course.It is known that 30% of all students are enrolled in an accounting course and 40% of all students are enrolled in statistics.Included in these numbers are 15% who are enrolled in both statistics and accounting.A student is randomly selected, and it is found that the student is enrolled in accounting.What is the probability that this student is also enrolled in statistics?

Accepted Answer

A) 0.15 
B) 0.75 
C) 0.375 
D) 0.50 
E) 0.80 
A) 0.15 
B) 0.75 
C) 0.375 
D) 0.50 
E) 0.80

Question 13

A market research firm is investigating the appeal of three package designs.The table below gives information obtained through a sample of 200 consumers.The three package designs are labeled A, B, and C.The consumers are classified according to age and package design preference.   If one of these consumers is randomly selected, what is the probability that the person prefers design A?

Accepted Answer

A) 0.76 
B) 0.38 
C) 0.33 
D) 0.22 
E) 0.39 
A) 0.76 
B) 0.38 
C) 0.33 
D) 0.22 
E) 0.39

Question 14

P(B$\mid$A)denotes a conditional probability.

Accepted Answer

A) True 
 B)False

Question 15

A market research firm is investigating the appeal of three package designs.The table below gives information obtained through a sample of 200 consumers.The three package designs are labeled A, B, and C.The consumers are classified according to age and package design preference.   If one of these consumers is randomly selected, what is the probability that the person prefers design A and is under 25?

Accepted Answer

A) 0.22 
B) 0.11 
C) 0.18 
D) 0.54 
E) 0.78 
A) 0.22 
B) 0.11 
C) 0.18 
D) 0.54 
E) 0.78

Question 16

Suppose 5% of the population have a certain disease.A laboratory blood test gives a positive reading for 95% of people who have the disease.What is the probability of testing positive and having the disease?

Accepted Answer

A) 0.0475 
B) 0.95 
C) 0.05 
D) 0.9 
E) 0.02 
A) 0.0475 
B) 0.95 
C) 0.05 
D) 0.9 
E) 0.02

Question 17

Probability is used to develop knowledge of the fundamental mathematical tools for quantitatively assessing risk.

Accepted Answer

A) True 
 B)False

Question 18

The list of all elementary events for an experiment is called the sample space.

Accepted Answer

A) True 
 B)False

Question 19

An analysis of personal loans at a local bank revealed the following facts: 10% of all personal loans are in default (D), 90% of all personal loans are not in default (D΄), 20% of those in default are homeowners (H | D), and 70% of those not in default are homeowners (H | D΄).If a personal loan is selected at random P (H $\cap$ D')= ___.

Accepted Answer

A) 0.20 
B) 0.63 
C) 0.90 
D) 0.18 
E) 0.78 
A) 0.20 
B) 0.63 
C) 0.90 
D) 0.18 
E) 0.78

Question 20

The probability of A $\cup$ B where A is receiving a state grant and B is receiving a federal grant is the probability of receiving no more than one of the two grants.

Accepted Answer

A) True 
 B)False

The general law of addition is P(X $\cap$ Y)= P(X)+ P(Y)- P(X $\cup$ Y).

In a set of 10 aluminum castings, two castings are defective (D), and the remaining eight are good (G).A quality control inspector randomly selects three of the ten castings with replacement and classifies each as defective (D)or good (G).How large is the sample space?

Assigning probabilities by dividing the number of ways that an event can occur by the total number of possible outcomes in an experiment is called the relative frequency of occurrence method.

The list of all elementary events for an experiment is called ___.

It is known that 20% of all students in some large university are overweight, 20% exercise regularly and 2% are overweight and exercise regularly.What is the probability that a randomly selected student is either overweight or exercises regularly or both?

If the occurrence of one event does not affect the occurrence of another event, then the two events are mutually exclusive.

If the probability that someone likes the color blue is 44% and the probability that among those individuals, the probability that they wake up early is 52%, then the probability that individuals who like the color blue and wake up early is about 23%.

Given two events A and B each with a non-zero probability, if the conditional probability of A given B is zero, it implies that the events A and B are independent.

Suppose that 3% of all TVs made by a company in 2018 are defective.If 2 of these TVs are randomly selected what is the probability that both are defective?

If the probability that someone likes the color blue is 44% and the probability that individuals wake up early is 64%, then the probability that individuals who like the color blue and wake up early is about 23%.In this case, the two events are independent.

P(B $\mid$ A)denotes a conditional probability.

Suppose 5% of the population have a certain disease.A laboratory blood test gives a positive reading for 95% of people who have the disease.What is the probability of testing positive and having the disease?

Probability is used to develop knowledge of the fundamental mathematical tools for quantitatively assessing risk.

The list of all elementary events for an experiment is called the sample space.

The probability of A $\cup$ B where A is receiving a state grant and B is receiving a federal grant is the probability of receiving no more than one of the two grants.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 4: Probability

The general law of addition is P(X ∩\cap∩ Y)= P(X)+ P(Y)- P(X ∪\cup∪ Y).

In a set of 10 aluminum castings, two castings are defective (D), and the remaining eight are good (G).A quality control inspector randomly selects three of the ten castings with replacement and classifies each as defective (D)or good (G).How large is the sample space?

Assigning probabilities by dividing the number of ways that an event can occur by the total number of possible outcomes in an experiment is called the relative frequency of occurrence method.

The list of all elementary events for an experiment is called ___.

It is known that 20% of all students in some large university are overweight, 20% exercise regularly and 2% are overweight and exercise regularly.What is the probability that a randomly selected student is either overweight or exercises regularly or both?

If the occurrence of one event does not affect the occurrence of another event, then the two events are mutually exclusive.

If the probability that someone likes the color blue is 44% and the probability that among those individuals, the probability that they wake up early is 52%, then the probability that individuals who like the color blue and wake up early is about 23%.

Given two events A and B each with a non-zero probability, if the conditional probability of A given B is zero, it implies that the events A and B are independent.

Suppose that 3% of all TVs made by a company in 2018 are defective.If 2 of these TVs are randomly selected what is the probability that both are defective?

If the probability that someone likes the color blue is 44% and the probability that individuals wake up early is 64%, then the probability that individuals who like the color blue and wake up early is about 23%.In this case, the two events are independent.

P(B ∣\mid∣ A)denotes a conditional probability.

Suppose 5% of the population have a certain disease.A laboratory blood test gives a positive reading for 95% of people who have the disease.What is the probability of testing positive and having the disease?

Probability is used to develop knowledge of the fundamental mathematical tools for quantitatively assessing risk.

The list of all elementary events for an experiment is called the sample space.

The probability of A ∪\cup∪ B where A is receiving a state grant and B is receiving a federal grant is the probability of receiving no more than one of the two grants.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

The general law of addition is P(X $\cap$ Y)= P(X)+ P(Y)- P(X $\cup$ Y).

P(B $\mid$ A)denotes a conditional probability.

The probability of A $\cup$ B where A is receiving a state grant and B is receiving a federal grant is the probability of receiving no more than one of the two grants.