Exam 7: Continuous Probability Distributions

If Excel and Minitab packages are both used to generate its own sample of 10,000 observations from a theoretical continuous distribution,the two sets of observations are expected to be identical.

(True/False)

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Question 81

In a paper mill,which produces newsprint from Southern Pine,the production manager finds a flaw for each 1000 feet of newsprint.He knows that the outcome is a Poisson process with a continuous distribution.If x = feet between flaws,what is the probability of finding 600 or more feet between the next two flaws?

(Short Answer)

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Question 82

Let z₁ be a z score that is unknown but identifiable by position and area.If the area to the right of z₁ is 0.8413,then the value of z₁ must be:

(Multiple Choice)

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Question 83

Which of the following is not a characteristic for a normal distribution?

(Multiple Choice)

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Question 84

The z-score representing the 90th percentile of the standard normal distribution is:

(Multiple Choice)

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Question 85

For a normal curve,if the mean is 20 minutes and the standard deviation is 5 minutes,find the area to the right of 12 minutes.

(Short Answer)

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Question 86

The proportion of the data from a standard normal distribution that falls within two standard deviations from the mean is:

(Multiple Choice)

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Question 87

Regardless of the shape of a particular normal curve,about 75% of the area is within the interval $\mu \pm \sigma$ ,where $\mu$ and $\text { ? }$ are the mean and the standard deviation,respectively.

(True/False)

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Question 88

In 2000,the average charge of tax preparation was $95.Assuming a normal distribution and a standard deviation of $10,use the approximate areas beneath the normal curve,as discussed in this section,to answer: What proportion of tax preparation fees were more than $115?

(Short Answer)

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Question 89

For a value of z = -1.59,explain the steps needed to find the area to the left of this value.

(Essay)

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Question 90

A manufacturer of washing machines has experienced a 2% repair rate.In a city where 120,000 of its machines are located,the company plans to open its own repair service and needs to determine the number of repair workers to hire.Each worker can handle calls for 1000 machine repairs.If the company wants to cover calls 90% of the time,how many workers must it hire for the new repair facility?

(Short Answer)

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Question 91

Grades for a statistics exam for a certain class follow the normal probability distribution with a mean of 82 and a standard deviation of 12.What percentage of the students in the class had a grade 81 or more?

(Short Answer)

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Question 92

If x is a normal random variable with a mean of 100 and a standard deviation of 10,find the following probabilities: A)P(x ≥ 128) B)P(x ≤ 113) C)P(87 ≤ x ≤ 98)

(Short Answer)

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Question 93

Why is the probability that a continuous random variable takes on any specific value equal to zero?

(Essay)

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Question 94

An elementary school teacher learned that 40 percent of school age children have at least 3 cavities.The teacher has 30 students in his class.What is the standard deviation for the number of school age children that have at least 3 cavities?

(Short Answer)

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Question 95

In the normal distribution,the total area under the curve is equal to ____________________.

(Short Answer)

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Question 96

Regardless of the shape of a particular normal curve,about what percentage of the area is within $\mu \pm 3\sigma$ ,respectively,where $\mu$ is the mean and $\sigma$ is the standard deviation.

(Short Answer)

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Question 97

The exponential distribution is a family of discrete distributions,all of which are negatively skewed.

(True/False)

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Question 98

The standard deviation of the binomial distribution with n = 25 and $\pi$ = .50 is 6.25.

(True/False)

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Question 99

The age of customers for a particular retail store follows a normal distribution with a mean of 37.5 years and a standard deviation of 7.6 years.What is the probability that the next customer who enters the store will be less than 42 years old?

(Short Answer)

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Question 100

Showing 81 - 100 of 160

If Excel and Minitab packages are both used to generate its own sample of 10,000 observations from a theoretical continuous distribution,the two sets of observations are expected to be identical.

Let z₁ be a z score that is unknown but identifiable by position and area.If the area to the right of z₁ is 0.8413,then the value of z₁ must be:

Which of the following is not a characteristic for a normal distribution?

The z-score representing the 90th percentile of the standard normal distribution is:

For a normal curve,if the mean is 20 minutes and the standard deviation is 5 minutes,find the area to the right of 12 minutes.

The proportion of the data from a standard normal distribution that falls within two standard deviations from the mean is:

Regardless of the shape of a particular normal curve,about 75% of the area is within the interval $\mu \pm \sigma$ ,where $\mu$ and $\text { ? }$ are the mean and the standard deviation,respectively.

In 2000,the average charge of tax preparation was $95.Assuming a normal distribution and a standard deviation of $10,use the approximate areas beneath the normal curve,as discussed in this section,to answer: What proportion of tax preparation fees were more than $115?

For a value of z = -1.59,explain the steps needed to find the area to the left of this value.

Grades for a statistics exam for a certain class follow the normal probability distribution with a mean of 82 and a standard deviation of 12.What percentage of the students in the class had a grade 81 or more?

If x is a normal random variable with a mean of 100 and a standard deviation of 10,find the following probabilities: A)P(x ≥ 128) B)P(x ≤ 113) C)P(87 ≤ x ≤ 98)

Why is the probability that a continuous random variable takes on any specific value equal to zero?

An elementary school teacher learned that 40 percent of school age children have at least 3 cavities.The teacher has 30 students in his class.What is the standard deviation for the number of school age children that have at least 3 cavities?

In the normal distribution,the total area under the curve is equal to ____________________.

Regardless of the shape of a particular normal curve,about what percentage of the area is within $\mu \pm 3\sigma$ ,respectively,where $\mu$ is the mean and $\sigma$ is the standard deviation.

The exponential distribution is a family of discrete distributions,all of which are negatively skewed.

The standard deviation of the binomial distribution with n = 25 and $\pi$ = .50 is 6.25.

The age of customers for a particular retail store follows a normal distribution with a mean of 37.5 years and a standard deviation of 7.6 years.What is the probability that the next customer who enters the store will be less than 42 years old?

A Preview of Business Statistics

Visual Description of Data

Statistical Description of Data

Data Collection and Sampling Methods

Probability: Review of Basic Concepts

Discrete Probability Distributions

Sampling Distributions

Estimation From Sample Data

Hypothesis Tests Involving a Sample Mean or Proportion

Hypothesis Tests Involving Two Sample Means

Analysis of Variance Tests

Chi-Square Applications

Nonparametric Methods

Simple Linear Regression and Correlation

Multiple Regression and Correlation

Model Building

Models for Time Series and Forecasting

Decision Theory

Total Quality Management

Filters

Exam 7: Continuous Probability Distributions

If Excel and Minitab packages are both used to generate its own sample of 10,000 observations from a theoretical continuous distribution,the two sets of observations are expected to be identical.

Let z1 be a z score that is unknown but identifiable by position and area.If the area to the right of z1 is 0.8413,then the value of z1 must be:

Which of the following is not a characteristic for a normal distribution?

The z-score representing the 90th percentile of the standard normal distribution is:

For a normal curve,if the mean is 20 minutes and the standard deviation is 5 minutes,find the area to the right of 12 minutes.

The proportion of the data from a standard normal distribution that falls within two standard deviations from the mean is:

Regardless of the shape of a particular normal curve,about 75% of the area is within the interval μ±σ\mu \pm \sigmaμ±σ ,where μ\muμ and ? \text { ? } ? are the mean and the standard deviation,respectively.

In 2000,the average charge of tax preparation was $95.Assuming a normal distribution and a standard deviation of $10,use the approximate areas beneath the normal curve,as discussed in this section,to answer: What proportion of tax preparation fees were more than $115?

For a value of z = -1.59,explain the steps needed to find the area to the left of this value.

Grades for a statistics exam for a certain class follow the normal probability distribution with a mean of 82 and a standard deviation of 12.What percentage of the students in the class had a grade 81 or more?

If x is a normal random variable with a mean of 100 and a standard deviation of 10,find the following probabilities: A)P(x ≥ 128) B)P(x ≤ 113) C)P(87 ≤ x ≤ 98)

Why is the probability that a continuous random variable takes on any specific value equal to zero?

An elementary school teacher learned that 40 percent of school age children have at least 3 cavities.The teacher has 30 students in his class.What is the standard deviation for the number of school age children that have at least 3 cavities?

In the normal distribution,the total area under the curve is equal to ____________________.

Regardless of the shape of a particular normal curve,about what percentage of the area is within μ±3σ\mu \pm 3\sigmaμ±3σ ,respectively,where μ\muμ is the mean and σ\sigmaσ is the standard deviation.

The exponential distribution is a family of discrete distributions,all of which are negatively skewed.

The standard deviation of the binomial distribution with n = 25 and π\piπ = .50 is 6.25.

The age of customers for a particular retail store follows a normal distribution with a mean of 37.5 years and a standard deviation of 7.6 years.What is the probability that the next customer who enters the store will be less than 42 years old?

A Preview of Business Statistics

Visual Description of Data

Statistical Description of Data

Data Collection and Sampling Methods

Probability: Review of Basic Concepts

Discrete Probability Distributions

Sampling Distributions

Estimation From Sample Data

Hypothesis Tests Involving a Sample Mean or Proportion

Hypothesis Tests Involving Two Sample Means

Analysis of Variance Tests

Chi-Square Applications

Nonparametric Methods

Simple Linear Regression and Correlation

Multiple Regression and Correlation

Model Building

Models for Time Series and Forecasting

Decision Theory

Total Quality Management

Filters

Let z₁ be a z score that is unknown but identifiable by position and area.If the area to the right of z₁ is 0.8413,then the value of z₁ must be:

Regardless of the shape of a particular normal curve,about 75% of the area is within the interval $\mu \pm \sigma$ ,where $\mu$ and $\text { ? }$ are the mean and the standard deviation,respectively.

Regardless of the shape of a particular normal curve,about what percentage of the area is within $\mu \pm 3\sigma$ ,respectively,where $\mu$ is the mean and $\sigma$ is the standard deviation.

The standard deviation of the binomial distribution with n = 25 and $\pi$ = .50 is 6.25.