In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.8 and that wafers are independent. (a) What is the formula for the probability mass function? (b) Determine the probability mass function value (up to 3 decimal place) of the number of wafers from a lot that pass the test. X = x P(X - x) 0.008 0.096 0.384 0.512 (c) The cumulative distribution function of the number of wafers from a lot that pass the test are shown below. Determine the values of a to e (up to 3 decimal place a = 0
In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.8 and that wafers are independent. (a) What is the formula for the probability mass function? (b) Determine the probability mass function value (up to 3 decimal place) of the number of wafers from a lot that pass the test. X = x P(X - x) 0.008 0.096 0.384 0.512 (c) The cumulative distribution function of the number of wafers from a lot that pass the test are shown below. Determine the values of a to e (up to 3 decimal place a = 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
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Transcribed Image Text:In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.8 and that
wafers are independent.
(a) What is the formula for the probability mass function?
(b) Determine the probability mass function value (up to 3 decimal place) of the number of wafers from a lot that pass the test.
X = x
P(X = x)
0.008
0.096
0.384
3
0.512
(cC) The cumulative distribution function of the number of wafers from a lot that pass the test are shown below. Determine the values of a to e (up to 3 decimal place
a =
b =
I <0
a
0<r<1
f (X) = {c
1<I< 2
2<1 < 3
C =
d.
e
d =
e =
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