A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 52 ​tablets, then accept the whole batch if there is only one or none that​ doesn't meet the required specifications. If one shipment of 7000 aspirin tablets actually has a 6​% 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?

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Chapter1: Combinatorial Analysis
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A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test

52

​tablets, then accept the whole batch if there is only one or none that​ doesn't meet the required specifications. If one shipment of

7000

aspirin tablets actually has a

6​%

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?

 

Expert Solution
Step 1

given data 

N = 7000

sample size (n) = 52

P(defective) = p = 0.06

x = no. of defectives in sample of 52. 

accept shipment if  x1.

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