Question 6 A quality-control inspector is testing a batch of printed circuit boards to see whether they are capable of performing in a high-temperature environment. He knows that the boards that will survive will pass all five of the tests with probability 95%. They will pass at least four tests with probability 99%, and they always pass at least three. On the other hand, the boards that will not survive sometimes pass the tests as well. In fact, 5% pass all five tests, and another 20% pass exactly four. The rest pass at most three tests. The inspector decides that if a board passes all five tests, he will classify it as "good." Otherwise, he'll classify it as "bad." What is the probability of a type I error?

MATLAB: An Introduction with Applications
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Question 6
A quality-control inspector is testing a batch of printed circuit boards to see whether they are capable of
performing in a high-temperature environment. He knows that the boards that will survive will pass all five of the
tests with probability 95%. They will pass at least four tests with probability 99%, and they always pass at least
three. On the other hand, the boards that will not survive sometimes pass the tests as well. In fact, 5% pass all
five tests, and another 20% pass exactly four. The rest pass at most three tests. The inspector decides that if a
board passes all five tests, he will classify it as "good." Otherwise, he'll classify it as "bad."
What is the probability of a type I error?
0.95
0.2
0.05
0.8
Transcribed Image Text:Question 6 A quality-control inspector is testing a batch of printed circuit boards to see whether they are capable of performing in a high-temperature environment. He knows that the boards that will survive will pass all five of the tests with probability 95%. They will pass at least four tests with probability 99%, and they always pass at least three. On the other hand, the boards that will not survive sometimes pass the tests as well. In fact, 5% pass all five tests, and another 20% pass exactly four. The rest pass at most three tests. The inspector decides that if a board passes all five tests, he will classify it as "good." Otherwise, he'll classify it as "bad." What is the probability of a type I error? 0.95 0.2 0.05 0.8
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