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Silicon wafers are used in the manufacture of integrated
Chapter 2, Problem 3SE(choose chapter or problem)
Silicon wafers are used in the manufacture of integrated circuits. Of the wafers manufactured by a certain process, 10% have resistances below specification and 5% have resistances above specification.
a. What is the probability that the resistance of a randomly chosen wafer does not meet the
specification?
b. If a randomly chosen wafer has a resistance that does not meet the specification, what is the probability that it is too low?
Questions & Answers
QUESTION:
Silicon wafers are used in the manufacture of integrated circuits. Of the wafers manufactured by a certain process, 10% have resistances below specification and 5% have resistances above specification.
a. What is the probability that the resistance of a randomly chosen wafer does not meet the
specification?
b. If a randomly chosen wafer has a resistance that does not meet the specification, what is the probability that it is too low?
ANSWER:
Solution :
Given the wafer manufactured by a certain process,it has 10% below resistances and
5 % above resistances.
Our goal is to find
a). What is the probability that the resistance of a randomly chosen wafer does not meet the specification?
b). What is the probability that it is too low?
Step 1 of 2 :
a).
Now we have to find the probability that the resistance of a randomly chosen wafer does not meet the specification.
Here let A and B be the event.
A denote the event that the resistance is above specification is 10%
10/100 = 0.1 and
B denote the event that the resistance is below specification is 5%
5/100 = 0.05
Then,
P(wafer does not meet the specification) =
Therefore the probability of resistance of a randomly chosen wafer does not meet the specification is 0.145