Question

% 5.2.35-T Question He A pharmaceutical company receives largo shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 52 tablets, then accept the batch there is only one or none that doesn't meet the required specifications. If one shipment of 3000 aspirin tablets actually has a 2% rate of defects, what is probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many bo rejected? The probability that this whole shipment will be accepted is 0.7209 (Round to four decimal places as needed) The company will accept % of the shipments and will reject (Round to two decimal places as needed.) of the shipments, so

Answer 1

Given: n=52 ; p = 0.02 the p.m.f of binomial is P(x=x) = (2) p² clap) n-x we will compute the probability that one or none from the 52 randomly selected tablets has defects, since one large shipment has a defect rate of 2 7. the desired probability will be, PCX = 0) + pex = 1) = (2760.09370,98903+(53) 60.02) C098397 11 : 0.3497 + 0.3712 = 0, 7209

the company will accept 72.09% of the shipments and will reject 27.91%of the shipments, so almost all of the shipments will be accepted.