Exam 7: Continuous Probability Distributions

Two business major students, in different sections of an economics class, were comparing test scores. The following shows the sections' mean and standard deviation. The student in section 1 scored 84. The student's z score would be _________.

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Question 1

Correct Answer:

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1.2857
Explanation: From z = (x - μ)⁄σ = (84 - 75)/7 = 1.2847.

Which of the following is a characteristic of the normal probability distribution?

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Question 2

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The weight of a bag of corn chips is normally distributed with a mean of 22 ounces and a standard deviation of 0.5 ounces. The probability that a bag of corn chips weighs more than 21 ounces is ____.

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Question 3

Correct Answer:

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0.9772
Explanation: Begin by finding the z value corresponding to 21 ounces, from z = (x - μ)⁄σ = (21 - 22)/0.5 = -2.0. Using the "areas under the normal curve" table, the area between -2.0 and the mean, z = 0, is 0.4772. The remaining probability is the area of the right side of the distribution, or 0.5000. Then, the probability z is more than -2.0 is 0.9772 is found from 0.5000 + 0.4772.

If an average of 60 customers are served per hour, then one customer arrives every ________.

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Question 4

Tables of normal distribution probabilities are found in many statistics books. These probabilities are calculated from a normal distribution with ___________.

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Question 5

The z-value for a standard normal distribution ________.

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Question 6

A major credit card company has determined that customers charge between $100 and $1,100 per month. If the average monthly amount charged is uniformly distributed, the percent of monthly charges between $600 and $889 would be ______.

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Question 7

The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $100. What is the z-score for an income of $2,100?

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Question 8

After arriving at the university student medical clinic, the waiting times to receive service after checking-in follow an exponential distribution with a mean of 10 minutes. Calculate the probability a student waits less than 6 minutes.

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Question 9

The proportion of the area under a normal curve that is to the right of a z score, and that is equal to zero, is ________.

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Question 10

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the probability that a flight is more than 140 minutes?

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Question 11

In a uniform distribution, with a minimum, a, and maximum, b, the probability that the random variable, x, is between a and b is ___________.

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Question 12

A study conducted by a local tennis center revealed that 25 percent of its new members have novice level tennis skills. A membership drive in a metropolitan area resulted in 500 new members. It has been suggested that the normal approximation to the binomial be used to calculate various probabilities. In this problem, can the normal approximation to the binomial be applied? Explain.

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Question 13

A college professor noted that the grades of his students in an introductory statistics class were normally distributed with a mean of 76.5 and a standard deviation of 9. If 67.36% of his students received grades of C or above, what is the minimum score of those students receiving a grade of at least a C?

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Question 14

In a standard normal distribution, µ = __ and σ = _.

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Question 15

A z-value measures the distance between an outcome, x, and its population mean in terms of the number of _____________________.

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Question 16

A study conducted by a local tennis center revealed that 25 percent of its new members have novice level tennis skills. A membership drive in a metropolitan area resulted in 500 new members. What is the probability that 150 or more of the new members are novice tennis players?

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Question 17

The shape of the uniform distribution is ___________.

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Question 18

In a graph of the uniform distribution, probabilities are represented by ___________.

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Question 19

What is a normal distribution with a mean of 0 and a standard deviation of 1 called?

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Question 20

Showing 1 - 20 of 135

Two business major students, in different sections of an economics class, were comparing test scores. The following shows the sections' mean and standard deviation. The student in section 1 scored 84. The student's z score would be _________.

Which of the following is a characteristic of the normal probability distribution?

The weight of a bag of corn chips is normally distributed with a mean of 22 ounces and a standard deviation of 0.5 ounces. The probability that a bag of corn chips weighs more than 21 ounces is ____.

If an average of 60 customers are served per hour, then one customer arrives every ________.

Tables of normal distribution probabilities are found in many statistics books. These probabilities are calculated from a normal distribution with ___________.

The z-value for a standard normal distribution ________.

A major credit card company has determined that customers charge between $100 and $1,100 per month. If the average monthly amount charged is uniformly distributed, the percent of monthly charges between $600 and $889 would be ______.

The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $100. What is the z-score for an income of $2,100?

After arriving at the university student medical clinic, the waiting times to receive service after checking-in follow an exponential distribution with a mean of 10 minutes. Calculate the probability a student waits less than 6 minutes.

The proportion of the area under a normal curve that is to the right of a z score, and that is equal to zero, is ________.

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the probability that a flight is more than 140 minutes?

In a uniform distribution, with a minimum, a, and maximum, b, the probability that the random variable, x, is between a and b is ___________.

In a standard normal distribution, µ = __ and σ = _.

A z-value measures the distance between an outcome, x, and its population mean in terms of the number of _____________________.

A study conducted by a local tennis center revealed that 25 percent of its new members have novice level tennis skills. A membership drive in a metropolitan area resulted in 500 new members. What is the probability that 150 or more of the new members are novice tennis players?

The shape of the uniform distribution is ___________.

In a graph of the uniform distribution, probabilities are represented by ___________.

What is a normal distribution with a mean of 0 and a standard deviation of 1 called?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Correlation and Linear Regression

Multiple Regression Analysis

Nonparametric Methods: Nominal Level Hypothesis Tests

Nonparametric Methods: Analysis of Ordinal Data

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters

Exam 7: Continuous Probability Distributions

Two business major students, in different sections of an economics class, were comparing test scores. The following shows the sections' mean and standard deviation. The student in section 1 scored 84. The student's z score would be _________.

Which of the following is a characteristic of the normal probability distribution?

The weight of a bag of corn chips is normally distributed with a mean of 22 ounces and a standard deviation of 0.5 ounces. The probability that a bag of corn chips weighs more than 21 ounces is ____.

If an average of 60 customers are served per hour, then one customer arrives every ________.

Tables of normal distribution probabilities are found in many statistics books. These probabilities are calculated from a normal distribution with ___________.

The z-value for a standard normal distribution ________.

A major credit card company has determined that customers charge between $100 and $1,100 per month. If the average monthly amount charged is uniformly distributed, the percent of monthly charges between $600 and $889 would be ______.

The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $100. What is the z-score for an income of $2,100?

After arriving at the university student medical clinic, the waiting times to receive service after checking-in follow an exponential distribution with a mean of 10 minutes. Calculate the probability a student waits less than 6 minutes.

The proportion of the area under a normal curve that is to the right of a z score, and that is equal to zero, is ________.

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the probability that a flight is more than 140 minutes?

In a uniform distribution, with a minimum, a, and maximum, b, the probability that the random variable, x, is between a and b is ___________.

In a standard normal distribution, µ = ______ and σ = _____.

A z-value measures the distance between an outcome, x, and its population mean in terms of the number of _____________________.

A study conducted by a local tennis center revealed that 25 percent of its new members have novice level tennis skills. A membership drive in a metropolitan area resulted in 500 new members. What is the probability that 150 or more of the new members are novice tennis players?

The shape of the uniform distribution is ___________.

In a graph of the uniform distribution, probabilities are represented by ___________.

What is a normal distribution with a mean of 0 and a standard deviation of 1 called?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Correlation and Linear Regression

Multiple Regression Analysis

Nonparametric Methods: Nominal Level Hypothesis Tests

Nonparametric Methods: Analysis of Ordinal Data

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters

In a standard normal distribution, µ = __ and σ = _.