SOLUTION: A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance sampling plan: randomly select and test 28 tablets, then accept the whole batch if t
Algebra ->
Probability-and-statistics
-> SOLUTION: A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance sampling plan: randomly select and test 28 tablets, then accept the whole batch if t
Log On
Question 1101859: A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance sampling plan: randomly select and test 28 tablets, then accept the whole batch if there is at most one that doesn’t meet the required specifications. If a particular shipment of thousands of ibuprofen tablets actually has a 9% rate of defects, what is the probability that this whole shipment will be accepted?
(Report answer as a decimal value accurate to four decimal places.)
P(accept shipment) =
You can put this solution on YOUR website! here is the problem worked out for 14 tablets and 3%
In order for there to be no defects then all 14 of the test tablets must be good so
P(no defects out of 14) = 0.9714 ~ 0.6528
If there is 1 tablet that is bad then it can be any one of the 14 tablets (this can happen in 14 different ways), times the probability that 1 tablet is bad and 13 are good, so
P(1 defect out of 14) = 14*0.03*0.9713 ~ 0.2827
The probability that either of these cases happen is the sum of the individual probabilities which is
