Question 1161870: A pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. This plan randomly selects and tests 26 tablets, then accepts the whole batch if there is at most one that doesn't meet the required specifications. What is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 15% rate of defects?
P=
(Report answer as a decimal value accurate to four decimal places.)
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! This is the probability that given a fail rate of 0.15, at most 1 (0, 1) will occur when 26 are sampled
Also on calculator 2nd VARS binomialcdf ENTER (26,0.15,1) for 0.0817
for 0 the probability is 0.85^26=0.0146
for 1 the probability is 26C1*0.85^25*0.15=0.0671
That sum is 0.0817
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