A pharmaceutical company receives large shipments of aspirin tablets. The accept

Question

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 55 ?tablets, then accept the whole batch if there is only one or none that? doesn't meet the required specifications. If one shipment of 3000 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 nothing. ?(Round to four decimal places as? needed.) The company will accept nothing?% of the shipments and will reject nothing?% of the? shipments, so ? many of the shipments will be rejected. almost all of the shipments will be accepted. ?(Round to two decimal places as? needed.)

Explanation / Answer

Ans:

Given that

n=55,p=0.05

P(accepted)=P(x<=1)=P(x=0)+P(x=1)

=55C0*0.050*0.9555+55C1*0.051*0.9554

=0.0595+0.1723  

=0.2319

The company will accept nothing 23.19% of the shipments and will reject 76.81% of the shipments will be rejected,so many of the shipments will be rejected.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.