A new water filtration system is sold with a 10-year warranty that includes all parts and repairs. Suppose the life of this water filtrationsystem is normally distributed with mean and standard deviation of 16 and 5 years, respectively.a. What is the probability that the water filtration system will require a repair during the warranty period?b. Suppose the water filtration firm makes a $300 profit for every new system it installs. This profit, however, is reduced to $50 if thesystem requires repair during the warranty period. Find the expected profit of the firm if it installs 1,000 new water filtrationsystems.

The first step is to calculate the Z-score, which is a measure of how many standard deviations an…

Answered: A new water filtration system is sold…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The useful life of an electrical component is exponentially distributed with a mean of 4,000 hours. a. What is the probability the circuit will last more than 4,750 hours? b. What is the probability the circuit will last between 4,000 and 4,250 hours? c. What is the probability the circuit will fail within the first 3,750 hours?
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 64 applications are randomly selected, what is the probability that the mean credit rating of these 64 applicants will be between 205 and 275. (Round your answer to 4 decimal places.) (Calculator: http://statisticshelper.com/normal-distribution-calculator) A. 0.5011 B. 0.4113 C. 0.2119 D. 0.3664
A surgery has a success rate of 90%. Suppose that the surgery is performed on threepatients Graph the probability distribution for X using a histogram.Find the mean of X.Find the variance and standard deviation of X.
Scores of each of the Knitting Aptitude tests were normally distributed with a mean of 6 hours and a standard deviation of 1.67 hours. Carrie will be taking the test tomorrow. Assume the data is normally distributed. Determine the probability of someone finishing in less than 2.17 hours 0.9891 0.5000 1.0 0.0109
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables d. Less than 55 poundse. Less than 49 pounds
A certain brokerage house wants to estimate the mean daily return on a certain stock. A random sample of 19 days yields the following return percentages. 0.28, 1.92, -1.2, 2.78, 1.97,-0.57, 1.46, -0.93, 0.58,-1.41, -1.15, 0.01, -1.49, −0.94, 1.73, 2.07, -0.83, 1.44, -2.28 Send data to calculator If we assume that the returns are normally distributed, find a 90% confidence interval for the mean daily return on this stock. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: 0 Upper limit: 0 X
The lifetime of an LED bulb follows a lognormal distribution. Suppose that the mean and standard deviation of the lifetime are 28,000 hours and 40,000 hours, respectively. a. What are the parameters and w of the lognormal distribution? b. What is the probability that the lifetime of a bulb exceeds 30,000 hours? c. Determine the lifetime that is exceeded by 95% of the bulbs.
One year consumers spent an average of $22 on a meal at a resturant. Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is $3.Complete parts (a) through (c) below. a. What is the probability that a randomly selected person spent more than $24?
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 60 poundsb. More than 56 poundsc. Between 55 and 57 pounds
Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 36 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal.
A certain brokerage house wants to estimate the mean daily return on a certain stock. A random sample of 20 days yields the following return percentages. 1.09, -1.09, -0.14,-0.03,1.76,-1.59,-1.46 , 2.13, 1.96, 2.01,-0.91,0.64,-2.41, 1.81, –0.25, -0.46,0.37, -0.21, 1.39,0.68 Send data to calculator Send data to Excel If we assume that the returns are normally distributed, find a 95% confidence interval for the mean daily return on this stock. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: Upper limit:

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS