use ) If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness? ) What is the probability that a randomly chosen specimen has a hardness over 80? ) If the acceptable range of hardness is (70c, 70+ c), for what value of c would 95% of all specimens have acceptable hardness?
use ) If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness? ) What is the probability that a randomly chosen specimen has a hardness over 80? ) If the acceptable range of hardness is (70c, 70+ c), for what value of c would 95% of all specimens have acceptable hardness?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Use Appendix Table A.3 to answer the following. The Rockwell hardness of a metal is
determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the
point. 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 chosen
specimen 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 acceptable
hardness?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67540c0c-0996-4e08-9c56-e8b7c18daa2d%2F15d70f31-44f4-472d-8601-96ffe9c13597%2F3wl66gs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use Appendix Table A.3 to answer the following. The Rockwell hardness of a metal is
determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the
point. 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 chosen
specimen 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 acceptable
hardness?
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