Pharmaceutical Company

Question

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 44 ​tablets, then accept the whole batch if there is only one or none that​ doesn't meet the required specifications. If one shipment of 6000 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?

The probability that this whole shipment will be accepted is ________. ​(Round to four decimal places as​ needed.)



The company will accept _______ of the shipments and will reject _______ of the​ shipments, so A. many of the shipments will be rejected or B. almost all of the shipments will be accepted.

Answer 1

binomial approximation P(acceptance) = BINOMDIST(1,44,0.06,1) =

P(rejection) = BINOMDIST(1,44,0.06,1) =

The exact probability is from the hypergeometric.

=HYPGEOM.DIST(1,44,360,6000,1) =

P(rejection) = 1 - HYPGEOM.DIST(1,44,360,6000,1) =