Your company provides services to three different industries: automotive, construction, and financial services.These services can be either on a yearly or on a monthly contract.The cross-tabulation below summarizes this information: \[\begin{array} { | l | l | l | l | } \hline & \text { Morthly } & \text { Yearly } & \text { Total } \\ \hline \text { Automotive } & 125 & 85 & 210 \\ \hline \text { Construction } & 212 & 351 & 563 \\ \hline \text { Finaricial } & 357 & 210 & 567 \\ \hline \text { Total } & 694 & 646 & 1340 \\ \hline \end{array}\] Suppose you know that a given client is a construction company and you are interested in the likelihood that this client is on a yearly contract.This is an example of _______.

A) joint probability B) marginal probability C) conditional probability D) a priori probability E) a posteriori probability A) joint probability B) marginal probability C) conditional probability D) a priori probability E) a posteriori probability

The table below provides summary information about the students in a class.The sex of each individual and their age is given. \[\begin{array} { | l | c | c | c | } \hline & \text { Male } & \text { Fernale } & \text { Total } \\ \hline \text { Under 20 yrs old } & 10 & 8 & 18 \\ \hline \begin{array} { l } \text { Between } 20 \text { and } 25 \\ \text { yrs old } \end{array} & 12 & 18 & 30 \\ \hline \text { Older tharn 25 yrs. } & 26 & 26 & 52 \\ \hline \text { Total } & 48 & 52 & 100 \\ \hline \end{array}\] If a student is randomly selected from this group, what is the probability that the student is male?

A) 0.12 B) 0.48 C) 0.50 D) 0.52 E) 0.68 A) 0.12 B) 0.48 C) 0.50 D) 0.52 E) 0.68

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. \[\begin{array} { | c | c | c | c | c | } \hline & \text { A } & \text { B } & \text { C } & \text { Total } \\ \hline \text { Under 25 years } & 22 & 34 & 40 & 96 \\ \hline 25 \text { or older } & 54 & 28 & 22 & 104 \\ \hline \text { Total } & 76 & 62 & 62 & 200 \\ \hline \end{array}\] If one of these consumers is randomly selected, what is the probability that the person prefers design A and is under 25?

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

Exam 4: Probability

A recent survey found that 24% of people in Michigan like oatmeal.If the probability that someone lives in Michigan is 4.8%, what is the probability that someone lives in Michigan and likes oatmeal?

(Multiple Choice)

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Question 21

A joint probability is the probability that at least one of two events occurs.

(True/False)

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Question 22

Given that two events, A and B, are independent, if the marginal probability of A is 0.6, the conditional probability of A given B will be 0.4.

(True/False)

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Question 23

A recent survey found that 24% of people in Michigan like oatmeal.If the probability that someone lives in Michigan is 4.8%.What is the probability that two people from Michigan would both like oatmeal?

(Multiple Choice)

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Question 24

Your company provides services to three different industries: automotive, construction, and financial services.These services can be either on a yearly or on a monthly contract.The cross-tabulation below summarizes this information: Morthly Yearly Total Automotive 125 85 210 Construction 212 351 563 Finaricial 357 210 567 Total 694 646 1340 Suppose you know that a given client is a construction company and you are interested in the likelihood that this client is on a yearly contract.This is an example of _______.

(Multiple Choice)

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Question 25

Which of the following statements is not true regarding probabilities:

(Multiple Choice)

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Question 26

An automobile dealer wishes to investigate the relation between the gender of the buyer and type of vehicle purchased.Based on the following joint probability table that was developed from the dealer's records for the previous year, P (Female)= __________. $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\text { Buyer Gender }$ Type of Vehicle Female Male Total SUV Not SUV .30 .40 Total .40 1.00

(Multiple Choice)

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Question 27

The table below provides summary information about the students in a class.The sex of each individual and their age is given. Male Fernale Total Under 20 yrs old 10 8 18 Between 20 and 25 yrs old 12 18 30 Older tharn 25 yrs. 26 26 52 Total 48 52 100 If a student is randomly selected from this group, what is the probability that the student is male?

(Multiple Choice)

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Question 28

If the CEO of Apple wanted to know the probability that someone would own an Apple computer and spend more than 20 hours each week on the internet would be an example of a _____________ probability.

(Multiple Choice)

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Question 29

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%.

(True/False)

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Question 30

Consider the following sample space, S, and several events defined on it.S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}.F $\cap$ H is ___________.

(Multiple Choice)

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Question 31

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

(Multiple Choice)

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Question 32

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. A B C Total Under 25 years 22 34 40 96 25 or older 54 28 22 104 Total 76 62 62 200 If one of these consumers is randomly selected, what is the probability that the person prefers design A and is under 25?

(Multiple Choice)

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Question 33

If X and Y are mutually exclusive events, then if X occurs _______.

(Multiple Choice)

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Question 34

Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant.Ten percent of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively.A plant employee is selected randomly; F is the event "works in the finishing department;" and A is the event "is absent excessively." P(A|F)= _____________.

(Multiple Choice)

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Question 35

Let F be the event that a student is enrolled in a finance course, and let S be the event that a student is enrolled in a statistics course.It is known that 40% of all students are enrolled in a finance course and 35% of all students are enrolled in statistics.Included in these numbers are 15% who are enrolled in both statistics and finance.Find the probability that among all students, a student is in finance and is also in statistics.

(Multiple Choice)

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Question 36

The law of multiplication gives the probability that at least one of the two events will occur.

(True/False)

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Question 37

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 and 10% positive reading of people who do not have the disease.What is the probability of testing positive?

(Multiple Choice)

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Question 38

Given two events, A and B, if the probability of either A or B occurring is 0.6, then the probability of neither A nor B occurring is -0.6.

(True/False)

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Question 39

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?

(Multiple Choice)

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Question 40

A recent survey found that 24% of people in Michigan like oatmeal.If the probability that someone lives in Michigan is 4.8%, what is the probability that someone lives in Michigan and likes oatmeal?

A joint probability is the probability that at least one of two events occurs.

Given that two events, A and B, are independent, if the marginal probability of A is 0.6, the conditional probability of A given B will be 0.4.

A recent survey found that 24% of people in Michigan like oatmeal.If the probability that someone lives in Michigan is 4.8%.What is the probability that two people from Michigan would both like oatmeal?

Which of the following statements is not true regarding probabilities:

If the CEO of Apple wanted to know the probability that someone would own an Apple computer and spend more than 20 hours each week on the internet would be an example of a _____________ probability.

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%.

Consider the following sample space, S, and several events defined on it.S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}.F $\cap$ H is ___________.

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

If X and Y are mutually exclusive events, then if X occurs _______.

The law of multiplication gives the probability that at least one of the two events will occur.

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 and 10% positive reading of people who do not have the disease.What is the probability of testing positive?

Given two events, A and B, if the probability of either A or B occurring is 0.6, then the probability of neither A nor B occurring is -0.6.

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?

Introduction to Statistics and Business Analytics

Visualizing Data With 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

A recent survey found that 24% of people in Michigan like oatmeal.If the probability that someone lives in Michigan is 4.8%, what is the probability that someone lives in Michigan and likes oatmeal?

A joint probability is the probability that at least one of two events occurs.

Given that two events, A and B, are independent, if the marginal probability of A is 0.6, the conditional probability of A given B will be 0.4.

A recent survey found that 24% of people in Michigan like oatmeal.If the probability that someone lives in Michigan is 4.8%.What is the probability that two people from Michigan would both like oatmeal?

Which of the following statements is not true regarding probabilities:

If the CEO of Apple wanted to know the probability that someone would own an Apple computer and spend more than 20 hours each week on the internet would be an example of a _____________ probability.

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%.

Consider the following sample space, S, and several events defined on it.S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}.F ∩\cap∩ H is ___________.

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

If X and Y are mutually exclusive events, then if X occurs _______.

The law of multiplication gives the probability that at least one of the two events will occur.

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 and 10% positive reading of people who do not have the disease.What is the probability of testing positive?

Given two events, A and B, if the probability of either A or B occurring is 0.6, then the probability of neither A nor B occurring is -0.6.

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?

Introduction to Statistics and Business Analytics

Visualizing Data With 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

Consider the following sample space, S, and several events defined on it.S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}.F $\cap$ H is ___________.