Suppose that a large shipment of components contains 5% defectives. The following two acceptance rules are being considered for determining whether to take delivery of a shipment of components. Rule 1: A random sample of 3 components is checked, and the shipment is accepted only if none of them is defective. Rule 2: A random sample of 10 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? a. Rule 2 has the smaller acceptance probability than rule 1. b. The two rules have the same acceptance probability. c. The information is not enough to compare them. d. Rule 1 has the smaller acceptance probability than rule 2.
Suppose that a large shipment of components contains 5% defectives. The following two acceptance rules are being considered for determining whether to take delivery of a shipment of components. Rule 1: A random sample of 3 components is checked, and the shipment is accepted only if none of them is defective. Rule 2: A random sample of 10 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? a. Rule 2 has the smaller acceptance probability than rule 1. b. The two rules have the same acceptance probability. c. The information is not enough to compare them. d. Rule 1 has the smaller acceptance probability than rule 2.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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![Suppose that a large shipment of components contains 5% defectives. The following two acceptance rules are being considered for determining whether to take delivery of a
shipment of components.
Rule 1: A random sample of 3 components is checked, and the shipment is accepted only if none of them is defective.
Rule 2: A random sample of 10 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?
a. Rule 2 has the smaller acceptance probability than rule 1.
b. The two rules have the same acceptance probability.
c. The information is not enough to compare them.
d. Rule 1 has the smaller acceptance probability than rule 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e766a1a-406f-4253-987a-48e5c0b26864%2Fadf56de0-b51a-427f-9959-2e121a33494c%2Fvea6rzq_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that a large shipment of components contains 5% defectives. The following two acceptance rules are being considered for determining whether to take delivery of a
shipment of components.
Rule 1: A random sample of 3 components is checked, and the shipment is accepted only if none of them is defective.
Rule 2: A random sample of 10 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?
a. Rule 2 has the smaller acceptance probability than rule 1.
b. The two rules have the same acceptance probability.
c. The information is not enough to compare them.
d. Rule 1 has the smaller acceptance probability than rule 2.
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