Question 1

Z.025 is the value of Z such that the area to the ____________________ of Z is .9750.

Accepted Answer

Question 2

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.
-What lifetime should the manufacturer advertise for these batteries in order that only 2% of the lamps will wear out before the advertised lifetime?

Accepted Answer

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

Question 3

The mean of a Student t distribution is ____________________.

Accepted Answer

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

Question 4

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.
-What proportion of customers have monthly balances less than $1,000?

Accepted Answer

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

Question 5

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 6

You can use a continuous random variable to ____________________ a discrete random variable that takes on a countable, but very large, number of possible values.

Accepted Answer

The answer of You can use a continuous random variable...

Question 7

The shape of the ____________________ distribution is similar to a normal distribution, except it has more area in the tails.

Accepted Answer

The answer of The shape of the ____________________ distribution is...

Question 8

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.
-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 9

Which of the following distributions is not skewed?

Accepted Answer

A)  Student t 
B)  $\chi$2 
C)  F 
D)  All of these distributions are skewed. 
A)  Student t 
B)  $\chi$2 
C)  F 
D)  All of these distributions are skewed.

Question 10

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 11

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 12

A continuous probability distribution represents a random variable having an infinite number of outcomes which may assume any number of values within an interval.

Accepted Answer

A) True 
 B)False

Question 13

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.
-What is the probability density function for this uniform distribution?

Accepted Answer

f(x) = 1/1

Question 14

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 15

Let X represent weekly income expressed in dollars. Since there is no set upper limit, we cannot identify (and thus cannot count) all the possible values. Consequently, weekly income is regarded as a continuous random variable.

Accepted Answer

A) True 
 B)False

Question 16

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

Accepted Answer

A) True 
 B)False

Question 17

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 18

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 19

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.
-What is the probability that a patient would have to wait between one and two hours?

Accepted Answer

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

Question 20

Which of the following does not represent a continuous uniform random variable?

Accepted Answer

A)  f(x) = 1/2 for x between -1 and 1, inclusive. 
B)  f(x) = 10 for x between 0 and 1/10, inclusive. 
C)  f(x) = 1/3 for x = 4, 5, 6. 
D)  None of these choices represents a continuous uniform random variable. 
A)  f(x) = 1/2 for x between -1 and 1, inclusive. 
B)  f(x) = 10 for x between 0 and 1/10, inclusive. 
C)  f(x) = 1/3 for x = 4, 5, 6. 
D)  None of these choices represents a continuous uniform random variable.

Z_.025 is the value of Z such that the area to the ____________________ of Z is .9750.

The mean of a Student t distribution is ____________________.

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. -What proportion of customers have monthly balances less than $1,000?

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

You can use a continuous random variable to ____________________ a discrete random variable that takes on a countable, but very large, number of possible values.

The shape of the ____________________ distribution is similar to a normal distribution, except it has more area in the tails.

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. -What proportion of these batteries will last for more than 4,000 hours?

Which of the following distributions is not skewed?

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

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

A continuous probability distribution represents a random variable having an infinite number of outcomes which may assume any number of values within an interval.

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. -What is the probability density function for this uniform distribution?

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.

Let X represent weekly income expressed in dollars. Since there is no set upper limit, we cannot identify (and thus cannot count) all the possible values. Consequently, weekly income is regarded as a continuous random variable.

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

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

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. -What is the probability that a patient would have to wait between one and two hours?

Which of the following does not represent a continuous uniform random variable?

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 Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

Exam 7: Continuous Probability Distributions

Z.025 is the value of Z such that the area to the ____________________ of Z is .9750.

The mean of a Student t distribution is ____________________.

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. -What proportion of customers have monthly balances less than $1,000?

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

You can use a continuous random variable to ____________________ a discrete random variable that takes on a countable, but very large, number of possible values.

The shape of the ____________________ distribution is similar to a normal distribution, except it has more area in the tails.

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. -What proportion of these batteries will last for more than 4,000 hours?

Which of the following distributions is not skewed?

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

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

A continuous probability distribution represents a random variable having an infinite number of outcomes which may assume any number of values within an interval.

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. -What is the probability density function for this uniform distribution?

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.

Let X represent weekly income expressed in dollars. Since there is no set upper limit, we cannot identify (and thus cannot count) all the possible values. Consequently, weekly income is regarded as a continuous random variable.

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

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

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. -What is the probability that a patient would have to wait between one and two hours?

Which of the following does not represent a continuous uniform random variable?

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 Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

Z_.025 is the value of Z such that the area to the ____________________ of Z is .9750.

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

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

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