Use Appendix Table A.3 to answer the following. The Rockwell hardness of a metal isdetermined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of thepoint. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 70 and standard deviation 3.(a) If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosenspecimen has an acceptable hardness?(b) What is the probability that a randomly chosen specimen has a hardness over 80?(c) If the acceptable range of hardness is (70c, 70+ c), for what value of c would 95% of all specimens have acceptablehardness?

It is given that Mean, μ = 70 Standard deviation, σ = 3

Answered: use ) If a specimen is acceptable only…

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

12 and 13
A test was given to a random group of students. The grades and gender are summarized below: {Give a reduced fraction or a decimal with at least 5 decimal places, as needed.} A В Male 7 Female 10 15 4 If one student is chosen at random, Find the probability that the student got a C: Find the probability that the student was female AND got a "A": Find the probability that the student was female OR got an "A": If one student is chosen at random, find the probability that the student was male GIVEN they got a 'B':
Each student in a statistics class was asked to randomly select a number from 1 to 10. The graph below summarizes their choices. The height of the bar above a number indicates the percentage of students in the class that chose that number (the actual percentage is shown above the bar). A) what is the median of all the numbers selected by the students? B) what is the first quartile Q1 of all the numbers selected by the students? What is the third quartile Q3 of all the numbers selected by the students?
Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 69 beats per min The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean bet The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution fo OB. Since the distribution is of individuals, not sample means, the distribution is a normal distribution fo OC. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution fo O D. Since the original population has a normal distribution, the distribution of sample means is a norma
A test was given to a random group of students. The grades and gender are summarized below:{Give a reduced fraction or a decimal with at least 5 decimal places, as needed.} A B C Male 2 18 15 Female 12 9 11 If one student is chosen at random, Find the probability that the student was male: Find the probability that the student was male AND got a "A": Find the probability that the student was male OR got an "A": If one student is chosen at random, find the probability that the student was female GIVEN they got a 'C':
A random variable follows a binomial distribution with the probability of success for one trial at 0.745 and 18 randomly selected trials. Round to the fourth. a) Find the mean of the distribution. b) Find the standard deviation of the distribution c) Find the probability of exactly 13 successes.

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