A company receives a very large shipment of components. A random sample of 16 of these components will be checked and the shipment will be accepted if fewer than 2 of these components are defective. (a) What is the probability of accepting a shipment containing. (i) 5% defectives? (ii) 15% defectives? (iii) 25% defectives? (b) The following two acceptance rules are being considered for determining whether to takė delivery of a large shipment of components: (i) A random sample of 10 components is checked, and the shipment is accepted only if none of them is defective. (ii) A random sample of 20 components is checked and the shipment is accepted only if no more than 1 of them is defective. Which of these acceptance rules has the smaller probability of accepting a shipment containing 20% defectives?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A company receives a very large shipment of components. A random sample of 16 of these components
will be checked and the shipment will be accepted if fewer than 2 of these components are defective.
(a) What is the probability of accepting a shipment containing.
(i) 5% defectives?
(ii) 15% defectives?
(iii) 25% defectives?
(b) The following two acceptance rules are being considered for determining whether to takė delivery
of a large shipment of components:
(i) A random sample of 10 components is checked, and the shipment is accepted only if none of
them is defective.
(ii) A random sample of 20 components is checked and the shipment is accepted only if no more
than 1 of them is defective.
Which of these acceptance rules has the smaller probability of accepting a shipment containing 20%
defectives?
Transcribed Image Text:A company receives a very large shipment of components. A random sample of 16 of these components will be checked and the shipment will be accepted if fewer than 2 of these components are defective. (a) What is the probability of accepting a shipment containing. (i) 5% defectives? (ii) 15% defectives? (iii) 25% defectives? (b) The following two acceptance rules are being considered for determining whether to takė delivery of a large shipment of components: (i) A random sample of 10 components is checked, and the shipment is accepted only if none of them is defective. (ii) A random sample of 20 components is checked and the shipment is accepted only if no more than 1 of them is defective. Which of these acceptance rules has the smaller probability of accepting a shipment containing 20% defectives?
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