The thickness of photoresist applied to wafers in semiconductor manufacturing at a particular location on the wafer is uniformly distributed between 0.2037 and 0.2142 micrometers. (a) Determine the proportion of wafers that exceeds 0.2125 micrometers of photoresist thickness. (Round your answer to 3 decir places.) (b) Determine the mean of X. (Round your answer to 4 decimal places.) micrometers (c) Determine the variance of X. (Round your answer to 8 decimal places.) i micrometers²

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

4.3-4 6

help

The thickness of photoresist applied to wafers in semiconductor manufacturing at a particular location on the wafer is uniformly
distributed between 0.2037 and 0.2142 micrometers.
(a) Determine the proportion of wafers that exceeds 0.2125 micrometers of photoresist thickness. (Round your answer to 3 decimal
places.)
(b) Determine the mean of X. (Round your answer to 4 decimal places.)
micrometers
(c) Determine the variance of X. (Round your answer to 8 decimal places.)
micrometers²
Statistical Tables and Charts
Transcribed Image Text:The thickness of photoresist applied to wafers in semiconductor manufacturing at a particular location on the wafer is uniformly distributed between 0.2037 and 0.2142 micrometers. (a) Determine the proportion of wafers that exceeds 0.2125 micrometers of photoresist thickness. (Round your answer to 3 decimal places.) (b) Determine the mean of X. (Round your answer to 4 decimal places.) micrometers (c) Determine the variance of X. (Round your answer to 8 decimal places.) micrometers² Statistical Tables and Charts
Expert Solution
Step 1

Given:

The thickness of photoresist applied to wafers in semiconductor manufacturing at a particular location on the wafer is uniformly distributed between 0.2037 and 0.2142 micrometers.

Concept:

If the random variable X follows Uniform Distribution then the probability distribution function is given by;

f(x)=1b-aaXb0elsewhere

steps

Step by step

Solved in 5 steps

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