Question 1

A continuous random variable X has a uniform distribution between 5 and 25 (inclusive), then P(X = 15) = 0.05.

Accepted Answer

A) True 
 B)False  False

Question 2

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 probability of waiting no more than 3 minutes?

Accepted Answer

0.50

Question 3

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

3 minutes

Question 4

Electronics Test
The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes.
-{Electronics Test Narrative} Find the probability that a student will take more than 60 minutes to finish the test.

Accepted Answer

The answer of Electronics Test
The time it takes a student...

Question 5

Repair Time
The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes.
-{Repair Time Narrative} What is the probability density function for the time it takes a technician to fix a telephone problem?

Accepted Answer

f(x) = (1/

Question 6

The total area under f(x) for a continuous random variable must equal ____________________.

Accepted Answer

The answer of The total area under f(x) for a...

Question 7

The mean of a Student t distribution is ____________________.

Accepted Answer

The answer of The mean of a Student t distribution...

Question 8

Electronics Test
The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes.
-{Electronics Test Narrative} Find the probability that a student will take exactly one hour to finish the test.

Accepted Answer

The answer of Electronics Test
The time it takes a student...

Question 9

Tanner took a statistics test whose mean was 80 and standard deviation was 5.The total points possible was 100.Tanner's score was 2 standard deviations below the mean.What was Tanner's score, rounded to the nearest whole number?

Accepted Answer

A)  78 
B)  70 
C)  90 
D)  None of these choices. 
A)  78 
B)  70 
C)  90 
D)  None of these choices.

Question 10

Suppose you have an F distribution with degrees of freedom 10, 20.
a.
Find the mean
b.
Find the variance.
c.
Find the standard deviation.

Accepted Answer

a.
20/18 = 1.11
b.
[

Question 11

Battery Life
A certain brand of batteries has a lifetime that has a normal distribution with a mean of 3,750 hours and a standard deviation of 300 hours.
-{Battery Life Narrative} What proportion of these batteries will last for more than 4,000 hours?

Accepted Answer

The answer of Battery Life
A certain brand of batteries has...

Question 12

If the mean of an exponential distribution is 2, then the value of the parameter $\lambda$ is

Accepted Answer

A)  0 
B)  2.0 
C)  0.5 
D)  1.0 
A)  0 
B)  2.0 
C)  0.5 
D)  1.0

Question 13

A continuous random variable X has a uniform distribution between 5 and 15 (inclusive), then the probability that X falls between 10 and 20 is 1.0.

Accepted Answer

A) True 
 B)False

Question 14

If X is a continuous random variable on the interval [0, 10], then P(X > 5) = P(X$\ge$ 5).

Accepted Answer

A) True 
 B)False

Question 15

To find the probability for a uniform random variable you take the ____________________ times the ____________________ of its corresponding rectangle.

Accepted Answer

base; height
height;

Question 16

Light Bulb Lifetime
The lifetime of a light bulb (in hours) is exponentially distributed with $\lambda$ = 0.008.
-{Light Bulb Lifetime Narrative} What is the mean and standard deviation of the light bulb's lifetime?

Accepted Answer

@#LAT-DLM&=@#LAT-DLM& = 1/@#LAT-DLM& = 1

Question 17

A random variable with density function e-xfor x $\ge$ 0 has an exponential distribution whose mean is ____________________.

Accepted Answer

Question 18

Suppose X has a chi-squared distribution with 10 degrees of freedom.The variance of X is:

Accepted Answer

A)  20 
B)  10 
C)  9 
D)  None of these choices. 
A)  20 
B)  10 
C)  9 
D)  None of these choices.

Question 19

If X has an exponential distribution with parameter $\lambda$, then f(0) = ____________________.

Accepted Answer

The answer of If X has an exponential distribution with...

Question 20

Let X be an exponential random variable with $\lambda$ = 1.50.Find the following:
a.
f(x)
b.
The y-intercept of f(x)

Accepted Answer

a.
f(x) =

A continuous random variable X has a uniform distribution between 5 and 25 (inclusive), then P(X = 15) = 0.05.

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 probability of waiting no more than 3 minutes?

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?

Electronics Test The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. -{Electronics Test Narrative} Find the probability that a student will take more than 60 minutes to finish the test.

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. -{Repair Time Narrative} What is the probability density function for the time it takes a technician to fix a telephone problem?

The total area under f(x) for a continuous random variable must equal ____________________.

The mean of a Student t distribution is ____________________.

Electronics Test The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. -{Electronics Test Narrative} Find the probability that a student will take exactly one hour to finish the test.

Tanner took a statistics test whose mean was 80 and standard deviation was 5.The total points possible was 100.Tanner's score was 2 standard deviations below the mean.What was Tanner's score, rounded to the nearest whole number?

Suppose you have an F distribution with degrees of freedom 10, 20. a. Find the mean b. Find the variance. c. Find the standard deviation.

Battery Life A certain brand of batteries has a lifetime that has a normal distribution with a mean of 3,750 hours and a standard deviation of 300 hours. -{Battery Life Narrative} What proportion of these batteries will last for more than 4,000 hours?

If the mean of an exponential distribution is 2, then the value of the parameter $\lambda$ is

A continuous random variable X has a uniform distribution between 5 and 15 (inclusive), then the probability that X falls between 10 and 20 is 1.0.

If X is a continuous random variable on the interval [0, 10], then P(X > 5) = P(X $\ge$ 5).

To find the probability for a uniform random variable you take the times the of its corresponding rectangle.

Light Bulb Lifetime The lifetime of a light bulb (in hours) is exponentially distributed with $\lambda$ = 0.008. -{Light Bulb Lifetime Narrative} What is the mean and standard deviation of the light bulb's lifetime?

A random variable with density function e^-xfor x $\ge$ 0 has an exponential distribution whose mean is ____________________.

Suppose X has a chi-squared distribution with 10 degrees of freedom.The variance of X is:

If X has an exponential distribution with parameter $\lambda$ , then f(0) = ____________________.

Let X be an exponential random variable with $\lambda$ = 1.50.Find the following: a. f(x) b. The y-intercept of f(x)

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

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 Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 8: Continuous Probability Distributions

A continuous random variable X has a uniform distribution between 5 and 25 (inclusive), then P(X = 15) = 0.05.

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 probability of waiting no more than 3 minutes?

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?

Electronics Test The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. -{Electronics Test Narrative} Find the probability that a student will take more than 60 minutes to finish the test.

Repair Time The time it takes a technician to fix a telephone problem is exponentially distributed with a mean of 15 minutes. -{Repair Time Narrative} What is the probability density function for the time it takes a technician to fix a telephone problem?

The total area under f(x) for a continuous random variable must equal ____________________.

The mean of a Student t distribution is ____________________.

Electronics Test The time it takes a student to finish a electronics test has a uniform distribution between 50 and 70 minutes. -{Electronics Test Narrative} Find the probability that a student will take exactly one hour to finish the test.

Tanner took a statistics test whose mean was 80 and standard deviation was 5.The total points possible was 100.Tanner's score was 2 standard deviations below the mean.What was Tanner's score, rounded to the nearest whole number?

Suppose you have an F distribution with degrees of freedom 10, 20. a. Find the mean b. Find the variance. c. Find the standard deviation.

Battery Life A certain brand of batteries has a lifetime that has a normal distribution with a mean of 3,750 hours and a standard deviation of 300 hours. -{Battery Life Narrative} What proportion of these batteries will last for more than 4,000 hours?

If the mean of an exponential distribution is 2, then the value of the parameter λ\lambdaλ is

A continuous random variable X has a uniform distribution between 5 and 15 (inclusive), then the probability that X falls between 10 and 20 is 1.0.

If X is a continuous random variable on the interval [0, 10], then P(X > 5) = P(X ≥\ge≥ 5).

To find the probability for a uniform random variable you take the ____________________ times the ____________________ of its corresponding rectangle.

Light Bulb Lifetime The lifetime of a light bulb (in hours) is exponentially distributed with λ\lambdaλ = 0.008. -{Light Bulb Lifetime Narrative} What is the mean and standard deviation of the light bulb's lifetime?

A random variable with density function e-xfor x ≥\ge≥ 0 has an exponential distribution whose mean is ____________________.

Suppose X has a chi-squared distribution with 10 degrees of freedom.The variance of X is:

If X has an exponential distribution with parameter λ\lambdaλ , then f(0) = ____________________.

Let X be an exponential random variable with λ\lambdaλ = 1.50.Find the following: a. f(x) b. The y-intercept of f(x)

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

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 Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Filters

If the mean of an exponential distribution is 2, then the value of the parameter $\lambda$ is

If X is a continuous random variable on the interval [0, 10], then P(X > 5) = P(X $\ge$ 5).

To find the probability for a uniform random variable you take the times the of its corresponding rectangle.

Light Bulb Lifetime The lifetime of a light bulb (in hours) is exponentially distributed with $\lambda$ = 0.008. -{Light Bulb Lifetime Narrative} What is the mean and standard deviation of the light bulb's lifetime?

A random variable with density function e^-xfor x $\ge$ 0 has an exponential distribution whose mean is ____________________.

If X has an exponential distribution with parameter $\lambda$ , then f(0) = ____________________.

Let X be an exponential random variable with $\lambda$ = 1.50.Find the following: a. f(x) b. The y-intercept of f(x)