Question 1

The sum of all values of f(x) over the range of [a, b] must equal one.

Accepted Answer

A) True 
 B)False

Question 2

The 10th percentile of a Z distribution has 10% of the Z-values lying above it.

Accepted Answer

A) True 
 B)False

Question 3

If the parameter of an exponential distribution is 1, then which of the following is true?

Accepted Answer

A)  The density function is eS1-x for x $\ge$ 0. 
B)  The mean is equal to 1. 
C)  The standard deviation and variance are both equal to 1. 
D)  All of these choices are true. 
A)  The density function is eS1-x for x $\ge$ 0. 
B)  The mean is equal to 1. 
C)  The standard deviation and variance are both equal to 1. 
D)  All of these choices are true.

Question 4

If the random variable X is exponentially distributed with parameter $\lambda$ = 0.05, then the probability P(X > 20) = 0.3679.

Accepted Answer

A) True 
 B)False

Question 5

Waiting Time
The length of time patients must wait to see a doctor at an emergency room in a large hospital has a uniform distribution between 40 minutes and 3 hours.
-{Waiting Time Narrative} What is the probability that a patient would have to wait exactly one hour?

Accepted Answer

The answer of Waiting Time
The length of time patients must...

Question 6

The mean and standard deviation of an exponential random variable are equal to each other.

Accepted Answer

A) True 
 B)False

Question 7

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

a.
f(x) = 1/25, 25 @#LAT-DLM&

Question 8

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 9

Use the t-table to find the following probabilities.
a.
P(t8 > 2.306)
b.
P(t80 > 2.639)
c.
P(t24 > 1.711)
d.
P(t35 > 1.306)

Accepted Answer

a.
0.025
b

Question 10

The value of an F distribution with v1 = 6 and v2 = 9 degrees of freedom such that the area to its right is 0.05 is 3.37.

Accepted Answer

A) True 
 B)False

Question 11

____________________ the value of $\sigma$in a normal distribution will make it wider.

Accepted Answer

The answer of ____________________ the value of $\sigma$in a normal...

Question 12

The shape of a c2 distribution is ____________________.

Accepted Answer

positively

Question 13

Checking Accounts
A bank has determined that the monthly balances of the checking accounts of its customers are normally distributed with an average balance of $1,200 and a standard deviation of $250.
-{Checking Accounts Narrative} What proportion of customers have monthly balances between $950 and $1,075?

Accepted Answer

The answer of Checking Accounts
A bank has determined that the...

Question 14

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

Accepted Answer

A)  F0.10,10,20 = 1/F0.90,10,20 
B)  F0.90,10,20 = 1/F0.10,20,10 
C)  F0.90,10,20 = 1/F0.90,20,10 
D)  F0.10,10,20 = 1/F0.10,20,10 
A)  F0.10,10,20 = 1/F0.90,10,20 
B)  F0.90,10,20 = 1/F0.10,20,10 
C)  F0.90,10,20 = 1/F0.90,20,10 
D)  F0.10,10,20 = 1/F0.10,20,10

Question 15

Suppose X has a normal distribution with mean 10 and standard deviation 2.The probability that X is less than 8 is equal to the probability that Z is less than ____________________.

Accepted Answer

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

Question 16

The mean and variance of a c2 distribution approach ____________________ as the degrees of freedom increase.

Accepted Answer

Question 17

If the random variable X has a uniform distribution between 40 and 50, then P(35 $\le$X $\le$ 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 18

The mean of the standard normal distribution is ____________________ and the standard deviation is ____________________.

Accepted Answer

The answer of The mean of the standard normal distribution...

Question 19

The mean of an exponential random variable is ____________________ the median.

Accepted Answer

The answer of The mean of an exponential random variable...

Question 20

If X has an exponential distribution, its ____________________ is equal to its ____________________.

Accepted Answer

mean; stan

The sum of all values of f(x) over the range of [a, b] must equal one.

The 10th percentile of a Z distribution has 10% of the Z-values lying above it.

If the parameter of an exponential distribution is 1, then which of the following is true?

If the random variable X is exponentially distributed with parameter $\lambda$ = 0.05, then the probability P(X > 20) = 0.3679.

Waiting Time The length of time patients must wait to see a doctor at an emergency room in a large hospital has a uniform distribution between 40 minutes and 3 hours. -{Waiting Time Narrative} What is the probability that a patient would have to wait exactly one hour?

The mean and standard deviation of an exponential random variable are equal to each other.

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

Use the t-table to find the following probabilities. a. P(t₈ > 2.306) b. P(t₈₀ > 2.639) c. P(t₂₄ > 1.711) d. P(t₃₅ > 1.306)

The value of an F distribution with v₁ = 6 and v₂ = 9 degrees of freedom such that the area to its right is 0.05 is 3.37.

____________________ the value of $\sigma$ in a normal distribution will make it wider.

The shape of a c² distribution is ____________________.

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

Suppose X has a normal distribution with mean 10 and standard deviation 2.The probability that X is less than 8 is equal to the probability that Z is less than ____________________.

The mean and variance of a c² distribution approach ____________________ as the degrees of freedom increase.

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

The mean of the standard normal distribution is and the standard deviation is .

The mean of an exponential random variable is ____________________ the median.

If X has an exponential distribution, its is equal to its .

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

The sum of all values of f(x) over the range of [a, b] must equal one.

The 10th percentile of a Z distribution has 10% of the Z-values lying above it.

If the parameter of an exponential distribution is 1, then which of the following is true?

If the random variable X is exponentially distributed with parameter λ\lambdaλ = 0.05, then the probability P(X > 20) = 0.3679.

Waiting Time The length of time patients must wait to see a doctor at an emergency room in a large hospital has a uniform distribution between 40 minutes and 3 hours. -{Waiting Time Narrative} What is the probability that a patient would have to wait exactly one hour?

The mean and standard deviation of an exponential random variable are equal to each other.

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

Use the t-table to find the following probabilities. a. P(t8 > 2.306) b. P(t80 > 2.639) c. P(t24 > 1.711) d. P(t35 > 1.306)

The value of an F distribution with v1 = 6 and v2 = 9 degrees of freedom such that the area to its right is 0.05 is 3.37.

____________________ the value of σ\sigmaσ in a normal distribution will make it wider.

The shape of a c2 distribution is ____________________.

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

Suppose X has a normal distribution with mean 10 and standard deviation 2.The probability that X is less than 8 is equal to the probability that Z is less than ____________________.

The mean and variance of a c2 distribution approach ____________________ as the degrees of freedom increase.

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

The mean of the standard normal distribution is ____________________ and the standard deviation is ____________________.

The mean of an exponential random variable is ____________________ the median.

If X has an exponential distribution, its ____________________ is equal to its ____________________.

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 random variable X is exponentially distributed with parameter $\lambda$ = 0.05, then the probability P(X > 20) = 0.3679.

Use the t-table to find the following probabilities. a. P(t₈ > 2.306) b. P(t₈₀ > 2.639) c. P(t₂₄ > 1.711) d. P(t₃₅ > 1.306)

The value of an F distribution with v₁ = 6 and v₂ = 9 degrees of freedom such that the area to its right is 0.05 is 3.37.

____________________ the value of $\sigma$ in a normal distribution will make it wider.

The shape of a c² distribution is ____________________.

The mean and variance of a c² distribution approach ____________________ as the degrees of freedom increase.

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

The mean of the standard normal distribution is and the standard deviation is .

If X has an exponential distribution, its is equal to its .