Question 1

All of the following are true about a probability density function,f(x),except ________.

Accepted Answer

A) f(x)≥ 0 for all values of x 
B) the total area under the function above the x-axis is 1.0 
C) the probability distribution will approach the shape of a smooth curve 
D) the probability will assume a value greater than or equal to a specified value,x 
A) f(x)≥ 0 for all values of x 
B) the total area under the function above the x-axis is 1.0 
C) the probability distribution will approach the shape of a smooth curve 
D) the probability will assume a value greater than or equal to a specified value,x

Question 2

What is the likelihood of finding a price of $3.68 or less for a gallon of gasoline from a normally distributed population of gas prices? Assume μ = $3.78 and σ = $0.05.

Accepted Answer

A) 0.4772 
B) 0.0793 
C) 0.4207 
D) 0.0228 
A) 0.4772 
B) 0.0793 
C) 0.4207 
D) 0.0228

Question 3

Two events are independent if ________.

Accepted Answer

A) the probability of one or both events is greater than one 
B) the probability of each event is not affected by the other 
C) the probability of one event prohibits the occurrence of the other 
D) the two events occur at the same time 
A) the probability of one or both events is greater than one 
B) the probability of each event is not affected by the other 
C) the probability of one event prohibits the occurrence of the other 
D) the two events occur at the same time

Question 4

For the normal continuous probability distribution,as σ2 increases,the distribution ________.

Accepted Answer

A) becomes more narrow 
B) becomes wider 
C) remains unchanged 
D) becomes asymmetric 
A) becomes more narrow 
B) becomes wider 
C) remains unchanged 
D) becomes asymmetric

Question 5

For a random variable X,the standardized normal value or z-value is calculated by ________.

Accepted Answer

A)    
B)    
C) x - μ 
D)    
A)    
B)    
C) x - μ 
D)

Question 6

It has been reported that,on average,families in Colorado Springs eat fast food 2.2 times per week with a standard deviation of 1.1 times per week.Assume that the distribution of the number of times that families eat fast food is a normal distribution.What is the likelihood that a family eats fast food less than once per week?

Accepted Answer

μ = 2.2,σ = 1.1,and x = 1.Usin

Question 7

All of the following are true about the binomial distribution except ________.

Accepted Answer

A) for values of p larger than 0.5,the distribution is negatively skewed 
B) for values of p smaller than 0.5,the distribution is positively skewed 
C) for p = 1.0,the distribution is nearly normal 
D) for p = 0.5,the distribution is symmetric 
A) for values of p larger than 0.5,the distribution is negatively skewed 
B) for values of p smaller than 0.5,the distribution is positively skewed 
C) for p = 1.0,the distribution is nearly normal 
D) for p = 0.5,the distribution is symmetric

Question 8

There are four mammals (one dog and three cats)and three reptiles (one snake and two turtles)on sale at a drastic discount at the local pet store.What is the probability that the first two animals sold are both cats?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

According to historical data,there are 300 days of sun in Colorado Springs each year.This suggests that the probability of a sunny day in 2013 is   = 82%.This is an application of ________.

Accepted Answer

A) conditional probability 
B) subjective probability 
C) classical probability 
D) relative frequency probability 
A) conditional probability 
B) subjective probability 
C) classical probability 
D) relative frequency probability

Question 10

Conditional probability is the probability of ________.

Accepted Answer

A) the occurrence of one event given that another event has already occurred 
B) the occurrence of two events that are mutually exclusive 
C) the occurrence of the complement of an event 
D) two events occurring at the same time 
A) the occurrence of one event given that another event has already occurred 
B) the occurrence of two events that are mutually exclusive 
C) the occurrence of the complement of an event 
D) two events occurring at the same time

Question 11

Consider the following table that shows the details of the people applying for a particular job.The cell numbers indicate the number of applicants belonging to a particular age group and gender.   What is the probability that a female or someone less than 41 years old is chosen?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

There are four slices of pepperoni pizza and three slices of veggie pizza sitting on the counter.What is the probability of randomly choosing a slice of veggie pizza?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

What is the likelihood of finding a price between $3.68 and $3.85 for a gallon of gasoline from a normally distributed population of gas prices? Assume μ = $3.78 and σ = $0.05.

Accepted Answer

A) 0.058 
B) 0.8965 
C) 1.0 
D) 0.2257 
A) 0.058 
B) 0.8965 
C) 1.0 
D) 0.2257

Question 14

Families with an income range of $35,000 to $55,000 are likely to buy the latest Star Quest DVD.What is the expected value for the family income for this uniform probability distribution?

Accepted Answer

A) $45,000 
B) $90,000 
C) $20,000 
D) $1666.67 
A) $45,000 
B) $90,000 
C) $20,000 
D) $1666.67

Question 15

What would be the z-value for $3.85 a gallon of gasoline from a normally distributed population of gas prices? Assume μ = $3.78 and σ = $0.05.

Accepted Answer

A) 1.4 
B) 1.018 
C) 0.0035 
D) 0.07 
A) 1.4 
B) 1.018 
C) 0.0035 
D) 0.07

Question 16

The Bernoulli distribution characterizes a random variable having two possible outcomes each with a ________.

Accepted Answer

A) varying probability of occurrence 
B) continuous probability of occurrence 
C) constant probability of occurrence 
D) conditional probability of occurrence 
A) varying probability of occurrence 
B) continuous probability of occurrence 
C) constant probability of occurrence 
D) conditional probability of occurrence

Question 17

How are the probabilities for the sample space of flipping three quarters calculated?

Accepted Answer

For the experiment of flipping three qua

Question 18

For a normal distribution,as μ changes,________.

Accepted Answer

A) the density of the function increases 
B) the median remains unchanged 
C) the distribution becomes wider 
D) the location of the distribution on the x-axis changes 
A) the density of the function increases 
B) the median remains unchanged 
C) the distribution becomes wider 
D) the location of the distribution on the x-axis changes

Question 19

A joint probability distribution describes the probabilities of outcomes ________.

Accepted Answer

A) of two different random variables occurring at the same time 
B) of the same random variable measured at two different time periods 
C) of two different random variables occurring sequentially 
D) of two random variables measured in two different time periods 
A) of two different random variables occurring at the same time 
B) of the same random variable measured at two different time periods 
C) of two different random variables occurring sequentially 
D) of two random variables measured in two different time periods

Question 20

The Poisson distribution might be used to model all of the following except ________.

Accepted Answer

A) the number of errors per line in software code 
B) the number of customers that use an ATM during lunch hour 
C) the number of items ordered per customer from inventory 
D) the number of voters registered for an upcoming election 
A) the number of errors per line in software code 
B) the number of customers that use an ATM during lunch hour 
C) the number of items ordered per customer from inventory 
D) the number of voters registered for an upcoming election

All of the following are true about a probability density function,f(x),except ________.

What is the likelihood of finding a price of $3.68 or less for a gallon of gasoline from a normally distributed population of gas prices? Assume μ = $3.78 and σ = $0.05.

Two events are independent if ________.

For the normal continuous probability distribution,as σ² increases,the distribution ________.

For a random variable X,the standardized normal value or z-value is calculated by ________.

All of the following are true about the binomial distribution except ________.

There are four mammals (one dog and three cats)and three reptiles (one snake and two turtles)on sale at a drastic discount at the local pet store.What is the probability that the first two animals sold are both cats?

According to historical data,there are 300 days of sun in Colorado Springs each year.This suggests that the probability of a sunny day in 2013 is = 82%.This is an application of ________.

Conditional probability is the probability of ________.

Consider the following table that shows the details of the people applying for a particular job.The cell numbers indicate the number of applicants belonging to a particular age group and gender. What is the probability that a female or someone less than 41 years old is chosen?

There are four slices of pepperoni pizza and three slices of veggie pizza sitting on the counter.What is the probability of randomly choosing a slice of veggie pizza?

What is the likelihood of finding a price between $3.68 and $3.85 for a gallon of gasoline from a normally distributed population of gas prices? Assume μ = $3.78 and σ = $0.05.

Families with an income range of $35,000 to $55,000 are likely to buy the latest Star Quest DVD.What is the expected value for the family income for this uniform probability distribution?

What would be the z-value for $3.85 a gallon of gasoline from a normally distributed population of gas prices? Assume μ = $3.78 and σ = $0.05.

The Bernoulli distribution characterizes a random variable having two possible outcomes each with a ________.

How are the probabilities for the sample space of flipping three quarters calculated?

For a normal distribution,as μ changes,________.

A joint probability distribution describes the probabilities of outcomes ________.

The Poisson distribution might be used to model all of the following except ________.

Data and Business Decisions

Descriptive Statistics and Data Analysis

Sampling and Estimation

Hypothesis Testing and Statistical Inference

Regression Analysis

Forecasting

Introduction to Statistical Quality Control

Building and Using Decision Models

Decision Models With Uncertainty and Risk

Decisions, uncertainty, and Risk

Queues and Process Simulation Modeling

Linear Optimization

Integer, nonlinear, and Advanced Optimization Methods

Filters

Exam 3: Probability Concepts and Distributions

All of the following are true about a probability density function,f(x),except ________.

What is the likelihood of finding a price of $3.68 or less for a gallon of gasoline from a normally distributed population of gas prices? Assume μ = $3.78 and σ = $0.05.

Two events are independent if ________.

For the normal continuous probability distribution,as σ2 increases,the distribution ________.

For a random variable X,the standardized normal value or z-value is calculated by ________.

All of the following are true about the binomial distribution except ________.

There are four mammals (one dog and three cats)and three reptiles (one snake and two turtles)on sale at a drastic discount at the local pet store.What is the probability that the first two animals sold are both cats?

According to historical data,there are 300 days of sun in Colorado Springs each year.This suggests that the probability of a sunny day in 2013 is = 82%.This is an application of ________.

Conditional probability is the probability of ________.

Consider the following table that shows the details of the people applying for a particular job.The cell numbers indicate the number of applicants belonging to a particular age group and gender. What is the probability that a female or someone less than 41 years old is chosen?

There are four slices of pepperoni pizza and three slices of veggie pizza sitting on the counter.What is the probability of randomly choosing a slice of veggie pizza?

What is the likelihood of finding a price between $3.68 and $3.85 for a gallon of gasoline from a normally distributed population of gas prices? Assume μ = $3.78 and σ = $0.05.

Families with an income range of $35,000 to $55,000 are likely to buy the latest Star Quest DVD.What is the expected value for the family income for this uniform probability distribution?

What would be the z-value for $3.85 a gallon of gasoline from a normally distributed population of gas prices? Assume μ = $3.78 and σ = $0.05.

The Bernoulli distribution characterizes a random variable having two possible outcomes each with a ________.

How are the probabilities for the sample space of flipping three quarters calculated?

For a normal distribution,as μ changes,________.

A joint probability distribution describes the probabilities of outcomes ________.

The Poisson distribution might be used to model all of the following except ________.

Data and Business Decisions

Descriptive Statistics and Data Analysis

Sampling and Estimation

Hypothesis Testing and Statistical Inference

Regression Analysis

Forecasting

Introduction to Statistical Quality Control

Building and Using Decision Models

Decision Models With Uncertainty and Risk

Decisions, uncertainty, and Risk

Queues and Process Simulation Modeling

Linear Optimization

Integer, nonlinear, and Advanced Optimization Methods

Filters

For the normal continuous probability distribution,as σ² increases,the distribution ________.