A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 56 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 5000 aspirin tablets actually has a 5% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is. (Round to four decimal places as needed.)
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 56 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 5000 aspirin tablets actually has a 5% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is. (Round to four decimal places as needed.)
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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Transcribed Image Text:A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 56 tablets, then accept the whole
batch if there is only one or none that doesn't meet the required specifications. If one shipment of 5000 aspirin tablets actually has a 5% rate of defects, what is the
probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?
The probability that this whole shipment will be accepted is.
(Round to four decimal places as needed.)
Transcribed Image Text:The probability that this whole shipment will be accepted is 0.5210.
(Round to four decimal places as needed.)
The company will accept 52.10 % of the shipments and will reject 47.90 % of the shipments, so many of the shipments will be rejected,
(Round to two decimal places as needed.)
Expert Solution
Step 1
From the provided information,
Sample size (n) = 56 tablets
The whole batch will be accepted if there is only one or none that don’t meet requirement.
Defect rate = 5% that is p = 0.05
The process should follow binomial distribution with probability distribution function as follow:
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