3. A company (the producer) supplies microprocessors to a manufacturer (the consumer) of electronic equipment. The microprocessors are supplied in batches of 50. The consumer regards a batch as acceptable provided that there are not more than 5 defective microprocessors in the batch. Rather than test all of the microprocessors in the batch, 10 are selected at random and tested.
3. A company (the producer) supplies microprocessors to a manufacturer (the consumer) of electronic equipment. The microprocessors are supplied in batches of 50. The consumer regards a batch as acceptable provided that there are not more than 5 defective microprocessors in the batch. Rather than test all of the microprocessors in the batch, 10 are selected at random and tested.
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:### Probability Questions for Microprocessor Batch Testing
#### Scenario:
A company (the producer) supplies microprocessors to a manufacturer (the consumer) of electronic equipment. The microprocessors are supplied in batches of 50. The consumer regards a batch as acceptable provided that there are not more than 5 defective microprocessors in the batch. Rather than test all of the microprocessors in the batch, 10 are selected at random and tested.
#### Questions:
(a) Find the probability that out of a sample of 10, \( d = 0, 1, 2, 3, 4, 5 \) are defective when there are actually 5 defective microprocessors in the batch.
(b) Suppose that the consumer will accept the batch provided that not more than \( m \) defectives are found in the sample of 10.
- (i) Find the probability that the batch is accepted when there are 5 defectives in the batch.
- (ii) Find the probability that the batch is rejected when there are 3 defectives in the batch.
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