Exam 6: Continuous Random Variables

A continuous probability distribution having a rectangular shape,where the probability is evenly distributed over an interval of numbers is a(n)____________ distribution.

(Multiple Choice)

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Question 21

Suppose that the times required for a cable company to fix cable problems in the homes of its customers are uniformly distributed between 40 minutes and 65 minutes.What is the probability that a randomly selected cable repair visit will take at least 50 minutes?

(Multiple Choice)

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Question 22

The lifetime of a stereo component is exponentially distributed with mean 1,000 days.What is the probability that the lifetime is greater than or equal to 700 days?

(Multiple Choice)

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Question 23

If the wages of workers for a given company are normally distributed with a mean of $15 per hour,then the proportion of the workers earning more than $13 per hour:

(Multiple Choice)

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Question 24

The mean and median are the same for an exponential distribution.

(True/False)

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Question 25

The area under the normal curve between z = 0 and z = 1 is ________________ the area under the normal curve between z = 1 and z = 2.

(Multiple Choice)

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Question 26

Given that X is a normal random variable,the probability that a given value of X is below its mean is ________________.

(Multiple Choice)

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Question 27

A normal distribution with mean equal to zero and a standard deviation equal to one is called the ____________ normal distribution.

(Multiple Choice)

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Question 28

Find z when the area to the right of z is .1314.

(Multiple Choice)

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Question 29

The US local airport keeps track of the percentage of flights arriving within 15 minutes of their scheduled arrivals.The stem-and-leaf plot of the data for one year is below. Compute the standardized quartile value O_i for i = 11.

(Short Answer)

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Question 30

During the past six months,73.2 percent of US households purchased sugar.Assume that these expenditures are approximately normally distributed with a mean of $8.22 and a standard deviation of $1.10.What proportion of the households spent between $5.00 and $9.00 on sugar?

(Multiple Choice)

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Question 31

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9.Only 5 percent of the students taking the test scored higher than what grade?

(Multiple Choice)

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Question 32

Which of the following is a continuous distribution?

(Multiple Choice)

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Question 33

The weight of a product is normally distributed with a mean of four ounces and a variance of .25 squared ounces.The company wants to classify the unit as a scrap in a maximum of 1 percent of the units if the weight is below a desired value.Determine the desired weight such that no more than 1 percent of the units are below it.

(Multiple Choice)

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Question 34

The z value tells us the number of standard deviations that a value x is from the mean.

(True/False)

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Question 35

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9.What proportion of students scored between 81 and 89?

(Multiple Choice)

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Question 36

Find z when the area between 0 and z is .4750.

(Multiple Choice)

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Question 37

The binomial random variable x consists of n = 60 trials and has the probability of failure q = 0.4.Using the normal approximation,compute the probability of 32 successes.

(Short Answer)

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Question 38

An aptitude test has a mean score of 80 and a standard deviation of 5.The population of scores is normally distributed.What proportion of tests has scores over 90?

(Multiple Choice)

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Question 39

A plant manager knows that the number of boxes of supplies received weekly is normally distributed with a mean of 200 and a standard deviation of 20.What percentage of the time will the number of boxes received weekly be greater than 200?

(Multiple Choice)

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Question 40

Showing 21 - 40 of 145

A continuous probability distribution having a rectangular shape,where the probability is evenly distributed over an interval of numbers is a(n)____________ distribution.

Suppose that the times required for a cable company to fix cable problems in the homes of its customers are uniformly distributed between 40 minutes and 65 minutes.What is the probability that a randomly selected cable repair visit will take at least 50 minutes?

The lifetime of a stereo component is exponentially distributed with mean 1,000 days.What is the probability that the lifetime is greater than or equal to 700 days?

If the wages of workers for a given company are normally distributed with a mean of $15 per hour,then the proportion of the workers earning more than $13 per hour:

The mean and median are the same for an exponential distribution.

The area under the normal curve between z = 0 and z = 1 is ________________ the area under the normal curve between z = 1 and z = 2.

Given that X is a normal random variable,the probability that a given value of X is below its mean is ________________.

A normal distribution with mean equal to zero and a standard deviation equal to one is called the ____________ normal distribution.

Find z when the area to the right of z is .1314.

The US local airport keeps track of the percentage of flights arriving within 15 minutes of their scheduled arrivals.The stem-and-leaf plot of the data for one year is below. Compute the standardized quartile value O_i for i = 11.

During the past six months,73.2 percent of US households purchased sugar.Assume that these expenditures are approximately normally distributed with a mean of $8.22 and a standard deviation of $1.10.What proportion of the households spent between $5.00 and $9.00 on sugar?

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9.Only 5 percent of the students taking the test scored higher than what grade?

Which of the following is a continuous distribution?

The z value tells us the number of standard deviations that a value x is from the mean.

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9.What proportion of students scored between 81 and 89?

Find z when the area between 0 and z is .4750.

The binomial random variable x consists of n = 60 trials and has the probability of failure q = 0.4.Using the normal approximation,compute the probability of 32 successes.

An aptitude test has a mean score of 80 and a standard deviation of 5.The population of scores is normally distributed.What proportion of tests has scores over 90?

A plant manager knows that the number of boxes of supplies received weekly is normally distributed with a mean of 200 and a standard deviation of 20.What percentage of the time will the number of boxes received weekly be greater than 200?

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Process Improvement Using Control Charts

Filters

Exam 6: Continuous Random Variables

A continuous probability distribution having a rectangular shape,where the probability is evenly distributed over an interval of numbers is a(n)____________ distribution.

Suppose that the times required for a cable company to fix cable problems in the homes of its customers are uniformly distributed between 40 minutes and 65 minutes.What is the probability that a randomly selected cable repair visit will take at least 50 minutes?

The lifetime of a stereo component is exponentially distributed with mean 1,000 days.What is the probability that the lifetime is greater than or equal to 700 days?

If the wages of workers for a given company are normally distributed with a mean of $15 per hour,then the proportion of the workers earning more than $13 per hour:

The mean and median are the same for an exponential distribution.

The area under the normal curve between z = 0 and z = 1 is ________________ the area under the normal curve between z = 1 and z = 2.

Given that X is a normal random variable,the probability that a given value of X is below its mean is ________________.

A normal distribution with mean equal to zero and a standard deviation equal to one is called the ____________ normal distribution.

Find z when the area to the right of z is .1314.

The US local airport keeps track of the percentage of flights arriving within 15 minutes of their scheduled arrivals.The stem-and-leaf plot of the data for one year is below. Compute the standardized quartile value Oi for i = 11.

During the past six months,73.2 percent of US households purchased sugar.Assume that these expenditures are approximately normally distributed with a mean of $8.22 and a standard deviation of $1.10.What proportion of the households spent between $5.00 and $9.00 on sugar?

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9.Only 5 percent of the students taking the test scored higher than what grade?

Which of the following is a continuous distribution?

The z value tells us the number of standard deviations that a value x is from the mean.

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9.What proportion of students scored between 81 and 89?

Find z when the area between 0 and z is .4750.

The binomial random variable x consists of n = 60 trials and has the probability of failure q = 0.4.Using the normal approximation,compute the probability of 32 successes.

An aptitude test has a mean score of 80 and a standard deviation of 5.The population of scores is normally distributed.What proportion of tests has scores over 90?

A plant manager knows that the number of boxes of supplies received weekly is normally distributed with a mean of 200 and a standard deviation of 20.What percentage of the time will the number of boxes received weekly be greater than 200?

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Process Improvement Using Control Charts

Filters

The US local airport keeps track of the percentage of flights arriving within 15 minutes of their scheduled arrivals.The stem-and-leaf plot of the data for one year is below. Compute the standardized quartile value O_i for i = 11.