Question 1

Which is the correct Excel formula for the 80th percentile of a distribution that is N(475,33)?

Accepted Answer

A) = NORM.DIST(80,475,33,1) 
B) = NORM.INV(0.80,475,33) 
C) = NORM.S.INV((80 − 475)/33) 
A) = NORM.DIST(80,475,33,1) 
B) = NORM.INV(0.80,475,33) 
C) = NORM.S.INV((80 − 475)/33)

Question 2

The price-earnings ratio for firms in a given industry follows the normal distribution.In this industry,a firm whose price-earnings ratio has a standardized value of z = 1.00 is approximately in the highest ________ percent of firms in the industry.

Accepted Answer

A) 16 percent 
B) 34 percent 
C) 68 percent 
D) 75 percent 
A) 16 percent 
B) 34 percent 
C) 68 percent 
D) 75 percent

Question 3

Compared to the area between z = 0.50 and z = 0.75,the area between z = 1.50 and z = 1.75 in the standard normal distribution will be

Accepted Answer

A) smaller 
B) larger 
C) the same 
A) smaller 
B) larger 
C) the same

Question 4

The time required for a citizen to complete the 2010 U.S.Census "long" form is normally distributed with a mean of 40 minutes and a standard deviation of 10 minutes.What proportion of the citizens will require less than one hour?

Accepted Answer

A) 0.4772 
B) 0.9772 
C) 0.9974 
D) 0.9997 
A) 0.4772 
B) 0.9772 
C) 0.9974 
D) 0.9997

Question 5

Historically,the default rate on a certain type of commercial loan is 20 percent.If a bank makes 100 of these loans,what is the approximate probability that at least 26 will result in default?

Accepted Answer

A) 0.2000 
B) 0.0668 
C) 0.0846 
D) 0.0336 
A) 0.2000 
B) 0.0668 
C) 0.0846 
D) 0.0336

Question 6

Normal distributions differ only in their means and variances.

Accepted Answer

A) True 
 B)False

Question 7

The ages of job applicants for a security guard position are uniformly distributed between 25 and 65.Could a 25-year-old job applicant be two standard deviations below the mean (or more than two standard deviations)?

Accepted Answer

A) Yes 
B) No 
C) Impossible to determine from given information 
A) Yes 
B) No 
C) Impossible to determine from given information

Question 8

On average,15 minutes elapse between discoveries of fraudulent corporate tax returns in a certain IRS office.What is the probability that less than 30 minutes will elapse before the next fraudulent corporate tax return is discovered?

Accepted Answer

A) 0.1353 
B) 0.6044 
C) 0.7389 
D) 0.8647 
A) 0.1353 
B) 0.6044 
C) 0.7389 
D) 0.8647

Question 9

Exam scores were normal in MIS 200.Jason's exam score was 1.41 standard deviations above the mean.What percentile is he in?

Accepted Answer

A) 68th 
B) 75th 
C) 84th 
D) 92nd 
A) 68th 
B) 75th 
C) 84th 
D) 92nd

Question 10

A multiple choice exam has 100 questions.Each question has five choices.What would be the approximate probability that a "guesser" could achieve a score of 30 or more?

Accepted Answer

A) 0.0088 
B) 0.0062 
C) 0.0015 
D) 0.4913 
A) 0.0088 
B) 0.0062 
C) 0.0015 
D) 0.4913

Question 11

Light bulbs are normally distributed with an average lifetime of 1000 hours and a standard deviation of 250 hours.The probability that a light bulb picked at random will last less than 1500 hours is about

Accepted Answer

A) 97.72 percent. 
B) 95.44 percent. 
C) 75.00 percent. 
D) 68.00 percent. 
A) 97.72 percent. 
B) 95.44 percent. 
C) 75.00 percent. 
D) 68.00 percent.

Question 12

Assume that X is normally distributed with a mean μ = $64.Given that P(X ≥ $75)= 0.2981,we can calculate that the standard deviation of X is approximately

Accepted Answer

A) $20.76 
B) $13.17 
C) $5.83 
D) $7.05 
A) $20.76 
B) $13.17 
C) $5.83 
D) $7.05

Question 13

A continuous uniform distribution U(100,200)will have the same standard deviation as a continuous uniform distribution U(200,300).

Accepted Answer

A) True 
 B)False

Question 14

The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean of 14 inches and a standard deviation of 3 inches.The first quartile for the lengths of brook trout would be

Accepted Answer

A) 16.01 inches. 
B) 11.00 inches. 
C) 11.98 inches. 
D) 10.65 inches. 
A) 16.01 inches. 
B) 11.00 inches. 
C) 11.98 inches. 
D) 10.65 inches.

Question 15

Exam scores were normal in BIO 200.Jason's exam score was one standard deviation above the mean.What percentile is he in?

Accepted Answer

A) 68th 
B) 75th 
C) 78th 
D) 84th 
A) 68th 
B) 75th 
C) 78th 
D) 84th

Question 16

On average,a major earthquake (Richter scale 6.0 or above)occurs 3 times a decade in a certain California county.What is the probability that less than six months will pass before the next earthquake?

Accepted Answer

A) 0.1393 
B) 0.8607 
C) 0.0952 
D) 0.9048 
A) 0.1393 
B) 0.8607 
C) 0.0952 
D) 0.9048

Question 17

The figure shows a normal N(400,23)distribution.Find the x value for the shaded area.

Accepted Answer

A) 379.1 
B) 362.2 
C) 355.7 
D) 347.6 
A) 379.1 
B) 362.2 
C) 355.7 
D) 347.6

Question 18

The MPG (miles per gallon)for a certain compact car is normally distributed with a mean of 31 and a standard deviation of 0.8.What is the probability that the MPG for a randomly selected compact car would be less than 32?

Accepted Answer

A) 0.3944 
B) 0.8944 
C) 0.1056 
D) 0.5596 
A) 0.3944 
B) 0.8944 
C) 0.1056 
D) 0.5596

Question 19

The figure shows a normal N(400,23)distribution.Find the approximate shaded area.

Accepted Answer

A) 0.0410 
B) 0.0501 
C) 0.0724 
D) 0.0838 
A) 0.0410 
B) 0.0501 
C) 0.0724 
D) 0.0838

Question 20

The exponential distribution describes the number of arrivals per unit of time.

Accepted Answer

A) True 
 B)False

Which is the correct Excel formula for the 80th percentile of a distribution that is N(475,33)?

The price-earnings ratio for firms in a given industry follows the normal distribution.In this industry,a firm whose price-earnings ratio has a standardized value of z = 1.00 is approximately in the highest ________ percent of firms in the industry.

Compared to the area between z = 0.50 and z = 0.75,the area between z = 1.50 and z = 1.75 in the standard normal distribution will be

The time required for a citizen to complete the 2010 U.S.Census "long" form is normally distributed with a mean of 40 minutes and a standard deviation of 10 minutes.What proportion of the citizens will require less than one hour?

Historically,the default rate on a certain type of commercial loan is 20 percent.If a bank makes 100 of these loans,what is the approximate probability that at least 26 will result in default?

Normal distributions differ only in their means and variances.

The ages of job applicants for a security guard position are uniformly distributed between 25 and 65.Could a 25-year-old job applicant be two standard deviations below the mean (or more than two standard deviations)?

On average,15 minutes elapse between discoveries of fraudulent corporate tax returns in a certain IRS office.What is the probability that less than 30 minutes will elapse before the next fraudulent corporate tax return is discovered?

Exam scores were normal in MIS 200.Jason's exam score was 1.41 standard deviations above the mean.What percentile is he in?

A multiple choice exam has 100 questions.Each question has five choices.What would be the approximate probability that a "guesser" could achieve a score of 30 or more?

Light bulbs are normally distributed with an average lifetime of 1000 hours and a standard deviation of 250 hours.The probability that a light bulb picked at random will last less than 1500 hours is about

Assume that X is normally distributed with a mean μ = $64.Given that P(X ≥ $75)= 0.2981,we can calculate that the standard deviation of X is approximately

A continuous uniform distribution U(100,200)will have the same standard deviation as a continuous uniform distribution U(200,300).

The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean of 14 inches and a standard deviation of 3 inches.The first quartile for the lengths of brook trout would be

Exam scores were normal in BIO 200.Jason's exam score was one standard deviation above the mean.What percentile is he in?

On average,a major earthquake (Richter scale 6.0 or above)occurs 3 times a decade in a certain California county.What is the probability that less than six months will pass before the next earthquake?

The figure shows a normal N(400,23)distribution.Find the x value for the shaded area.

The MPG (miles per gallon)for a certain compact car is normally distributed with a mean of 31 and a standard deviation of 0.8.What is the probability that the MPG for a randomly selected compact car would be less than 32?

The figure shows a normal N(400,23)distribution.Find the approximate shaded area.

The exponential distribution describes the number of arrivals per unit of time.

Overview of Statistics

Data Collection

Describing Data Visually

Descriptive Statistics

Probability

Discrete Probability Distributions

Sampling Distributions and Estimation

One-Sample Hypothesis Tests

Two-Sample Hypothesis Tests

Analysis of Variance

Simple Regression

Multiple Regression

Chi-Square Tests

Filters

Exam 7: Continuous Probability Distributions

Which is the correct Excel formula for the 80th percentile of a distribution that is N(475,33)?

The price-earnings ratio for firms in a given industry follows the normal distribution.In this industry,a firm whose price-earnings ratio has a standardized value of z = 1.00 is approximately in the highest ________ percent of firms in the industry.

Compared to the area between z = 0.50 and z = 0.75,the area between z = 1.50 and z = 1.75 in the standard normal distribution will be

The time required for a citizen to complete the 2010 U.S.Census "long" form is normally distributed with a mean of 40 minutes and a standard deviation of 10 minutes.What proportion of the citizens will require less than one hour?

Historically,the default rate on a certain type of commercial loan is 20 percent.If a bank makes 100 of these loans,what is the approximate probability that at least 26 will result in default?

Normal distributions differ only in their means and variances.

The ages of job applicants for a security guard position are uniformly distributed between 25 and 65.Could a 25-year-old job applicant be two standard deviations below the mean (or more than two standard deviations)?

On average,15 minutes elapse between discoveries of fraudulent corporate tax returns in a certain IRS office.What is the probability that less than 30 minutes will elapse before the next fraudulent corporate tax return is discovered?

Exam scores were normal in MIS 200.Jason's exam score was 1.41 standard deviations above the mean.What percentile is he in?

A multiple choice exam has 100 questions.Each question has five choices.What would be the approximate probability that a "guesser" could achieve a score of 30 or more?

Light bulbs are normally distributed with an average lifetime of 1000 hours and a standard deviation of 250 hours.The probability that a light bulb picked at random will last less than 1500 hours is about

Assume that X is normally distributed with a mean μ = $64.Given that P(X ≥ $75)= 0.2981,we can calculate that the standard deviation of X is approximately

A continuous uniform distribution U(100,200)will have the same standard deviation as a continuous uniform distribution U(200,300).

The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean of 14 inches and a standard deviation of 3 inches.The first quartile for the lengths of brook trout would be

Exam scores were normal in BIO 200.Jason's exam score was one standard deviation above the mean.What percentile is he in?

On average,a major earthquake (Richter scale 6.0 or above)occurs 3 times a decade in a certain California county.What is the probability that less than six months will pass before the next earthquake?

The figure shows a normal N(400,23)distribution.Find the x value for the shaded area.

The MPG (miles per gallon)for a certain compact car is normally distributed with a mean of 31 and a standard deviation of 0.8.What is the probability that the MPG for a randomly selected compact car would be less than 32?

The figure shows a normal N(400,23)distribution.Find the approximate shaded area.

The exponential distribution describes the number of arrivals per unit of time.

Overview of Statistics

Data Collection

Describing Data Visually

Descriptive Statistics

Probability

Discrete Probability Distributions

Sampling Distributions and Estimation

One-Sample Hypothesis Tests

Two-Sample Hypothesis Tests

Analysis of Variance

Simple Regression

Multiple Regression

Chi-Square Tests

Filters