Question 1

Which of the following represents a difference between continuous and discrete random variables?

Accepted Answer

A) Continuous random variables assume an uncountable number of values, and discrete random variables do not. 
B) The probability for any individual value of a continuous random variable is zero, but for discrete random variables it is not. 
C) Probability for continuous random variables means finding the area under a curve, while for discrete random variables it means summing individual probabilities. 
D) All of these choices are true. 
A) Continuous random variables assume an uncountable number of values, and discrete random variables do not. 
B) The probability for any individual value of a continuous random variable is zero, but for discrete random variables it is not. 
C) Probability for continuous random variables means finding the area under a curve, while for discrete random variables it means summing individual probabilities. 
D) All of these choices are true.

Question 2

Probability for continuous random variables is found by finding the ____________________ under a curve.

Accepted Answer

The answer of Probability for continuous random variables is found...

Question 3

P (1 Z P ( Z - ____________________.

Accepted Answer

The answer of P (1 Z P ( Z -...

Question 4

Which of the following statements is correct regarding the percentile points of the F distribution?

Accepted Answer

A) F 0.10,10,20 = 1\ F 0.90,10,20 
B) F 0.90,10,20 = 1\ F 0.10,20,10 
C) F 0.90,10,20 = 1\ F 0.90,20,10 
D) F 0.10,10,20 = 1\ F 0.10,20,10 
A) F 0.10,10,20 = 1\ F 0.90,10,20 
B) F 0.90,10,20 = 1\ F 0.10,20,10 
C) F 0.90,10,20 = 1\ F 0.90,20,10 
D) F 0.10,10,20 = 1\ F 0.10,20,10

Question 5

Lamont took a psychology exam whose mean was 70 with standard deviation 5. He also took a calculus exam whose mean was 80 with standard deviation 10. He scored 85 on both exams. On which exam did he do better compared to the other students who took the exam?

Accepted Answer

A) He did better on the psychology exam, comparatively speaking. 
B) He did better on the calculus exam, comparatively speaking. 
C) He did the same on both exams, relatively speaking. 
D) Cannot tell without more information. 
A) He did better on the psychology exam, comparatively speaking. 
B) He did better on the calculus exam, comparatively speaking. 
C) He did the same on both exams, relatively speaking. 
D) Cannot tell without more information.

Question 6

A continuous random variable is one that can assume an uncountable number of values.

Accepted Answer

A) True 
 B)False

Question 7

Subway Waiting Time At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. {Subway Waiting Time Narrative} What is the median waiting time for this subway?

Accepted Answer

The answer of Subway Waiting Time At a subway station...

Question 8

Most values of a standard normal distribution lie between:

Accepted Answer

A) 0 and 1 
B) - 3 and 3 
C) 0 and 3 
D) minus infinity and plus infinity 
A) 0 and 1 
B) - 3 and 3 
C) 0 and 3 
D) minus infinity and plus infinity

Question 9

As the ____________________ degrees of freedom increase, the mean of the F distribution approaches 1.

Accepted Answer

The answer of As the ____________________ degrees of freedom increase,...

Question 10

Suppose X has a normal distribution with mean 40 and standard deviation 2. Shifting all the X values to the right 10 units results in a normal distribution with mean ____________________ and standard deviation ____________________.

Accepted Answer

The answer of Suppose X has a normal distribution with...

Question 11

If Z is a standard normal random variable, find the value z for which: 
 a. the area between 0 and z is 0.3729 
 b. the area to the right of z is 0.7123 
 c. the area to the left of z is 0.1736 
 d. the area between - z and z is 0.6630

Accepted Answer

a. 1.14

Question 12

Given that Z is a standard normal random variable, a negative value of Z indicates that the standard deviation of Z is negative.

Accepted Answer

A) True 
 B)False

Question 13

The time required to complete a particular assembly operation has a uniform distribution between 25 and 50 minutes. 
 a. What is the probability density function for this uniform distribution? 
 b. What is the probability that the assembly operation will require more than 40 minutes to complete? 
 c. Suppose more time was allowed to complete the operation, and the values of X were extended to the range from 25 to 60 minutes. What would f(x)be in this case?

Accepted Answer

The answer of The time required to complete a particular...

Question 14

If the random variable X has a uniform distribution between 40 and 50, then P (35 £ X £ 45)is:

Accepted Answer

A) 1.0 
B) 0.5 
C) 0.1 
D) undefined. 
A) 1.0 
B) 0.5 
C) 0.1 
D) undefined.

Question 15

For a continuous random variable, the probability for each individual value of X is ____________________.

Accepted Answer

The answer of For a continuous random variable, the probability...

Question 16

The Student t distribution looks similar in shape to a standard normal distribution, except it is not as widely spread.

Accepted Answer

A) True 
 B)False

Question 17

{Electronics Test Narrative} Find the probability that a student will take no less than 55 minutes to finish the test.

Accepted Answer

The answer of {Electronics Test Narrative} Find the probability that...

Question 18

Suppose Lamont's exam score was at the 80th percentile on an exam whose mean was 90. What was Lamont's exam score?

Accepted Answer

A) 76.81 
B) 72.00 
C) 80.00 
D) Cannot tell without more information. 
A) 76.81 
B) 72.00 
C) 80.00 
D) Cannot tell without more information.

Question 19

Given that Z is a standard normal random variable, the area to the left of a value z is expressed as

Accepted Answer

A) P ( Z ³ z ) 
B) P ( Z £ z ) 
C) P (0 £ Z £ z ) 
D) P ( Z ³ - z ) 
A) P ( Z ³ z ) 
B) P ( Z £ z ) 
C) P (0 £ Z £ z ) 
D) P ( Z ³ - z )

Question 20

The value of A such that P ( - A £ t £ A )= 0.95, where the degrees of freedom are 20, is 2.086.

Accepted Answer

A) True 
 B)False

Which of the following represents a difference between continuous and discrete random variables?

Probability for continuous random variables is found by finding the ____________________ under a curve.

P (1 Z P ( Z - ____________________.

Which of the following statements is correct regarding the percentile points of the F distribution?

Lamont took a psychology exam whose mean was 70 with standard deviation 5. He also took a calculus exam whose mean was 80 with standard deviation 10. He scored 85 on both exams. On which exam did he do better compared to the other students who took the exam?

A continuous random variable is one that can assume an uncountable number of values.

Subway Waiting Time At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. {Subway Waiting Time Narrative} What is the median waiting time for this subway?

Most values of a standard normal distribution lie between:

As the ____________________ degrees of freedom increase, the mean of the F distribution approaches 1.

Suppose X has a normal distribution with mean 40 and standard deviation 2. Shifting all the X values to the right 10 units results in a normal distribution with mean and standard deviation .

If Z is a standard normal random variable, find the value z for which: a. the area between 0 and z is 0.3729 b. the area to the right of z is 0.7123 c. the area to the left of z is 0.1736 d. the area between - z and z is 0.6630

Given that Z is a standard normal random variable, a negative value of Z indicates that the standard deviation of Z is negative.

If the random variable X has a uniform distribution between 40 and 50, then P (35 £ X £ 45)is:

For a continuous random variable, the probability for each individual value of X is ____________________.

The Student t distribution looks similar in shape to a standard normal distribution, except it is not as widely spread.

{Electronics Test Narrative} Find the probability that a student will take no less than 55 minutes to finish the test.

Suppose Lamont's exam score was at the 80^th percentile on an exam whose mean was 90. What was Lamont's exam score?

Given that Z is a standard normal random variable, the area to the left of a value z is expressed as

The value of A such that P ( - A £ t £ A )= 0.95, where the degrees of freedom are 20, is 2.086.

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populat

Inference About Comparing Two Populat

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlat

Multiple Regression

Review of Statistical Inference

Filters

Exam 7: Continuous Probability Distributions

Which of the following represents a difference between continuous and discrete random variables?

Probability for continuous random variables is found by finding the ____________________ under a curve.

P (1 Z P ( Z - ____________________.

Which of the following statements is correct regarding the percentile points of the F distribution?

Lamont took a psychology exam whose mean was 70 with standard deviation 5. He also took a calculus exam whose mean was 80 with standard deviation 10. He scored 85 on both exams. On which exam did he do better compared to the other students who took the exam?

A continuous random variable is one that can assume an uncountable number of values.

Subway Waiting Time At a subway station the waiting time for a subway is found to be uniformly distributed between 1 and 5 minutes. {Subway Waiting Time Narrative} What is the median waiting time for this subway?

Most values of a standard normal distribution lie between:

As the ____________________ degrees of freedom increase, the mean of the F distribution approaches 1.

Suppose X has a normal distribution with mean 40 and standard deviation 2. Shifting all the X values to the right 10 units results in a normal distribution with mean ____________________ and standard deviation ____________________.

If Z is a standard normal random variable, find the value z for which: a. the area between 0 and z is 0.3729 b. the area to the right of z is 0.7123 c. the area to the left of z is 0.1736 d. the area between - z and z is 0.6630

Given that Z is a standard normal random variable, a negative value of Z indicates that the standard deviation of Z is negative.

If the random variable X has a uniform distribution between 40 and 50, then P (35 £ X £ 45)is:

For a continuous random variable, the probability for each individual value of X is ____________________.

The Student t distribution looks similar in shape to a standard normal distribution, except it is not as widely spread.

{Electronics Test Narrative} Find the probability that a student will take no less than 55 minutes to finish the test.

Suppose Lamont's exam score was at the 80th percentile on an exam whose mean was 90. What was Lamont's exam score?

Given that Z is a standard normal random variable, the area to the left of a value z is expressed as

The value of A such that P ( - A £ t £ A )= 0.95, where the degrees of freedom are 20, is 2.086.

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populat

Inference About Comparing Two Populat

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlat

Multiple Regression

Review of Statistical Inference

Filters

Suppose X has a normal distribution with mean 40 and standard deviation 2. Shifting all the X values to the right 10 units results in a normal distribution with mean and standard deviation .

Suppose Lamont's exam score was at the 80^th percentile on an exam whose mean was 90. What was Lamont's exam score?