Hypergeometric Problems 1. A batch of 10 rocker cover gaskets contains 4 defective gaskets. If we draw samples of size 3 without replacement, from the batch of 10, find the probability that a sample contains 2 defective gaskets.
Hypergeometric Problems 1. A batch of 10 rocker cover gaskets contains 4 defective gaskets. If we draw samples of size 3 without replacement, from the batch of 10, find the probability that a sample contains 2 defective gaskets.
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:Hypergeometric Problems
1. A batch of 10 rocker cover gaskets contains 4 defective gaskets. If we draw samples
of size 3 without replacement, from the batch of 10, find the probability that a sample contains 2
defective gaskets.
2. In the manufacture of car tires, a particular production process is know to yield 10
tires with defective walls in every batch of 100 tires produced. From a production batch of 100
tires, a sample of 4 is selected for testing to destruction. Find the probability that the sample
contains 1 defective tire.
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.
(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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