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A lot of 100 semiconductor chips contains 20 that are
Chapter 2, Problem 130E(choose chapter or problem)
Questions & Answers
QUESTION: Problem 130EA lot of 100 semiconductor chips contains 20 that are defective.(a) Two are selected, at random, without replacement, from the lot. Determine the probability that the second chip selected is defective.(b) Three are selected, at random, without replacement, from the lot. Determine the probability that all are defective.
ANSWER:
Solution :
Step 1 of 2:
Given a total batch of 100 semiconductor chips have 20 defective chips.
So here working chips is 80.
Our goal is:
We need to find the probability that
a). The second chip selected is defective.
b). The third chip selected is defective.
a). Given two are randomly selected without replacement.
Let and
be the two events.
Here and
be the two chips are randomly selected from the lot.
Now we have to find the probability that the second chip selected is defective.
Then the probability that the second chip is defective is
P()+P(
) = P(
)
+ P(
)
P()+P(
) =
P()+P(
) =
P()+P(
) =
P()+P(
) =
P()+P(
) = 0.2
Therefore, the probability that the second chip selected is defective is 0.2.