Question 1

What are continuous probability distributions?

Accepted Answer

Continuous probability distrib

Question 2

In the normal distribution,the total area beneath the curve represents the probability for all possible outcomes for a given event.

Accepted Answer

A) True 
 B)False

Question 3

A local radio station maintains a very popular phone service,which provides callers with current weather reports.The incoming calls have a Poisson distribution with an average of 5 calls for each 15 minute-period.If x = time between calls,then the probability of receiving four or fewer calls in the next 15 minutes is:

Accepted Answer

A)  0.2341. 
B)  0.7659. 
C)  0.2636. 
D)  0.7364. 
E)  0.9502. 
A)  0.2341. 
B)  0.7659. 
C)  0.2636. 
D)  0.7364. 
E)  0.9502.

Question 4

A computer statistical package has simulated 1000 random observations from a normal distribution with mean $\mu$ = 50 and standard deviation $\sigma$ = 10.Sketch the approximate box-and-whisker plot for the resulting data.

Accepted Answer

The answer of A computer statistical package has simulated 1000...

Question 5

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.How many students would he expect in his class to have at least three cavities?

Accepted Answer

The answer of An elementary school teacher learned that 40...

Question 6

In a continuous probability distribution,the probability that x will take on an exact value:

Accepted Answer

A)  is equal to the height of the curve at that value. 
B)  is calculated using the probability density. 
C)  is always equal to 0. 
D)  is always greater than 0. 
E)  None of these is correct. 
A)  is equal to the height of the curve at that value. 
B)  is calculated using the probability density. 
C)  is always equal to 0. 
D)  is always greater than 0. 
E)  None of these is correct.

Question 7

Using the standard normal curve,find the area to the left of z = -2.26.

Accepted Answer

The answer of Using the standard normal curve,find the area...

Question 8

A company sells toothpaste in a tube advertised to contain 8 ounces.The tube filling process is set with a mean of 8.21 ounces.In this continuous production process,the amount of toothpaste put in a tube is normally distributed with a mean of 8.21 ounces and a standard deviation of 0.09 ounces.If the actual capacity of the tubes used is 8.45 ounces,what proportion of the tubes will be filled beyond capacity?

Accepted Answer

The answer of A company sells toothpaste in a tube...

Question 9

The selling price of various homes in a community follows the normal distribution with a mean of $176,000 and a standard deviation of $22,300.What is the probability that the next house will sell for less than $158,000?

Accepted Answer

The answer of The selling price of various homes in...

Question 10

The recent average starting salary for new college graduates in computer information systems is $47,500.Assume salaries are normally distributed with a standard deviation of $4,500.What is the probability of a new graduate receiving a salary between $45,000 and $50,000?

Accepted Answer

The answer of The recent average starting salary for new...

Question 11

A continuous random variable x is normally distributed with a mean of $250 and a standard deviation of $50.Find the z-score for x = 175.

Accepted Answer

The answer of A continuous random variable x is normally...

Question 12

A certain brand of flood lamps has a lifetime that is normally distributed with a mean of 3,750 hours and a standard deviation of 300 hours.
A)What proportion of these lamps will last for more than 4,000 hours?
B)What lifetime should the manufacturer advertise for these lamps in order that only 2% of the lamps will burn out before the advertised lifetime?
____________________ hours (Remove all commas from your answer before submitting).

Accepted Answer

The answer of A certain brand of flood lamps has...

Question 13

Explain why the total area beneath a probability density function is equal to 1.0.

Accepted Answer

The area beneath the probabili

Question 14

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 exactly $100?

Accepted Answer

The answer of In 2000,the average charge of tax preparation...

Question 15

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 earned a B grade (80-89)?

Accepted Answer

The answer of Grades for a statistics exam for a...

Question 16

Assume x is normally distributed with mean $\mu$ = 15 and standard deviation $\text { σ  }$ = 3.Use the approximate areas beneath the normal curve,as discussed in this section,to find P(x ≥
 12).

Accepted Answer

The answer of Assume x is normally distributed with mean...

Question 17

For a normal curve,if the mean is 20 minutes and the standard deviation is 5 minutes,find the area to the left of 10 minutes.

Accepted Answer

The answer of For a normal curve,if the mean is...

Question 18

The speed of cars passing through a checkpoint follows a normal distribution with a mean of 62.6 miles per hour and a standard deviation of 3.7 miles per hour.What is the probability that the next car passing by will be exceeding 58.1 miles per hour?

Accepted Answer

The answer of The speed of cars passing through a...

Question 19

The speed of cars passing through a checkpoint follows a normal distribution with a mean of 62.6 miles per hour and a standard deviation of 3.7 miles per hour.What is the probability that the next car passing by will be exceeding 65.5 miles per hour?

Accepted Answer

The answer of The speed of cars passing through a...

Question 20

In your college campus,30% of the students use tobacco in some form.In your statistics class of 40 students,the probability of finding at least 15 students who use tobacco is:

Accepted Answer

A)  0.3051. 
B)  0.1949. 
C)  0.8051. 
D)  0.1515. 
E)  0.3485. 
A)  0.3051. 
B)  0.1949. 
C)  0.8051. 
D)  0.1515. 
E)  0.3485.

What are continuous probability distributions?

In the normal distribution,the total area beneath the curve represents the probability for all possible outcomes for a given event.

A computer statistical package has simulated 1000 random observations from a normal distribution with mean $\mu$ = 50 and standard deviation $\sigma$ = 10.Sketch the approximate box-and-whisker plot for the resulting data.

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.How many students would he expect in his class to have at least three cavities?

In a continuous probability distribution,the probability that x will take on an exact value:

Using the standard normal curve,find the area to the left of z = -2.26.

The selling price of various homes in a community follows the normal distribution with a mean of $176,000 and a standard deviation of $22,300.What is the probability that the next house will sell for less than $158,000?

The recent average starting salary for new college graduates in computer information systems is $47,500.Assume salaries are normally distributed with a standard deviation of $4,500.What is the probability of a new graduate receiving a salary between $45,000 and $50,000?

A continuous random variable x is normally distributed with a mean of $250 and a standard deviation of $50.Find the z-score for x = 175.

Explain why the total area beneath a probability density function is equal to 1.0.

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 exactly $100?

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 earned a B grade (80-89)?

Assume x is normally distributed with mean $\mu$ = 15 and standard deviation $\text { σ }$ = 3.Use the approximate areas beneath the normal curve,as discussed in this section,to find P(x ≥ 12).

For a normal curve,if the mean is 20 minutes and the standard deviation is 5 minutes,find the area to the left of 10 minutes.

The speed of cars passing through a checkpoint follows a normal distribution with a mean of 62.6 miles per hour and a standard deviation of 3.7 miles per hour.What is the probability that the next car passing by will be exceeding 58.1 miles per hour?

The speed of cars passing through a checkpoint follows a normal distribution with a mean of 62.6 miles per hour and a standard deviation of 3.7 miles per hour.What is the probability that the next car passing by will be exceeding 65.5 miles per hour?

In your college campus,30% of the students use tobacco in some form.In your statistics class of 40 students,the probability of finding at least 15 students who use tobacco is:

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

What are continuous probability distributions?

In the normal distribution,the total area beneath the curve represents the probability for all possible outcomes for a given event.

A computer statistical package has simulated 1000 random observations from a normal distribution with mean μ\muμ = 50 and standard deviation σ\sigmaσ = 10.Sketch the approximate box-and-whisker plot for the resulting data.

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.How many students would he expect in his class to have at least three cavities?

In a continuous probability distribution,the probability that x will take on an exact value:

Using the standard normal curve,find the area to the left of z = -2.26.

The selling price of various homes in a community follows the normal distribution with a mean of $176,000 and a standard deviation of $22,300.What is the probability that the next house will sell for less than $158,000?

The recent average starting salary for new college graduates in computer information systems is $47,500.Assume salaries are normally distributed with a standard deviation of $4,500.What is the probability of a new graduate receiving a salary between $45,000 and $50,000?

A continuous random variable x is normally distributed with a mean of $250 and a standard deviation of $50.Find the z-score for x = 175.

Explain why the total area beneath a probability density function is equal to 1.0.

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 exactly $100?

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 earned a B grade (80-89)?

Assume x is normally distributed with mean μ\muμ = 15 and standard deviation σ \text { σ } σ = 3.Use the approximate areas beneath the normal curve,as discussed in this section,to find P(x ≥ 12).

For a normal curve,if the mean is 20 minutes and the standard deviation is 5 minutes,find the area to the left of 10 minutes.

The speed of cars passing through a checkpoint follows a normal distribution with a mean of 62.6 miles per hour and a standard deviation of 3.7 miles per hour.What is the probability that the next car passing by will be exceeding 58.1 miles per hour?

The speed of cars passing through a checkpoint follows a normal distribution with a mean of 62.6 miles per hour and a standard deviation of 3.7 miles per hour.What is the probability that the next car passing by will be exceeding 65.5 miles per hour?

In your college campus,30% of the students use tobacco in some form.In your statistics class of 40 students,the probability of finding at least 15 students who use tobacco is:

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

A computer statistical package has simulated 1000 random observations from a normal distribution with mean $\mu$ = 50 and standard deviation $\sigma$ = 10.Sketch the approximate box-and-whisker plot for the resulting data.

Assume x is normally distributed with mean $\mu$ = 15 and standard deviation $\text { σ }$ = 3.Use the approximate areas beneath the normal curve,as discussed in this section,to find P(x ≥ 12).