Probability shipment will be accepted

Question

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 11 tablets, then accept the whole batch if there is only one or none that​ doesn't meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a

4​% rate of​defects, what is the probability that this whole shipment will be​ accepted?

Answer 1

The probability of none or one defective pill in 11 can be calculated using binomcdf on your calculator (under 2nd Vars).

binomcdf (11, .04, 1) = .9308