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Introduction to Engineering Experimentation | 3rd Edition | ISBN: 9780131742765 | Authors: Anthony J. Wheeler, Ahmad R. Ganji
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In the manufacturing of an electronic part, the

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QUESTION:

In the manufacturing of an electronic part, the probability of a part being defective is 5%. (a) What are the probabilities that, in a batch of 100 parts, 2 will be defective? 5 will be defective? 10 will be defective? (b) What should be the probability (P) of a part being defective if we do not want more than 1 out of 10 parts to fail with a chance (probability) of 99% (i.e., the probability of 0 or 1 part failing is 99%)? This part of the problem may need a trial-and-error solution.

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QUESTION:

In the manufacturing of an electronic part, the probability of a part being defective is 5%. (a) What are the probabilities that, in a batch of 100 parts, 2 will be defective? 5 will be defective? 10 will be defective? (b) What should be the probability (P) of a part being defective if we do not want more than 1 out of 10 parts to fail with a chance (probability) of 99% (i.e., the probability of 0 or 1 part failing is 99%)? This part of the problem may need a trial-and-error solution.

ANSWER:

Step 1 of 3

In the manufacturing of an electronic part, the probability of a part being defective is 5%.

Let be the random variable that describes the number of defective items.

When an item is selected at random, the probability that the item is defective is

Now, .

 

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