A test instrument needs to be calibrated periodically to prevent measurement errors. After some time of use without calibration, it is known that the probability density function of the measurement error is f(x)=1.0(1-0.5x) for 0

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

other solution posted is wrong

A test instrument needs to be calibrated periodically to prevent measurement errors. After
some time of use without calibration, it is known that the probability density function of
the measurement error is f(x)=1.0(1-0.5x) for 0<x<2.0 millimeters. Note that x is
the absolute value of the measurement error.
a. If the measurement error within 0.5 millimeters is acceptable, what is the
probability that the error is not acceptable and the instrument needs calibration?
b. What is the value of measurement error that must be exceeded with probability
0.3before the instrument needs calibration?
c. What is the probability that the measurement error is exactly 0.21 millimeters before
calibration?
Transcribed Image Text:A test instrument needs to be calibrated periodically to prevent measurement errors. After some time of use without calibration, it is known that the probability density function of the measurement error is f(x)=1.0(1-0.5x) for 0<x<2.0 millimeters. Note that x is the absolute value of the measurement error. a. If the measurement error within 0.5 millimeters is acceptable, what is the probability that the error is not acceptable and the instrument needs calibration? b. What is the value of measurement error that must be exceeded with probability 0.3before the instrument needs calibration? c. What is the probability that the measurement error is exactly 0.21 millimeters before calibration?
Expert Solution
steps

Step by step

Solved in 5 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman