Question

A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance samplingplan: randomly select and test 26 tablets, then accept the whole batch if there is at most one that doesn'tmeet the required specifications. If a particular shipment of thousands of ibuprofen tablets actually has a6% rate of defects, what is the probability that this whole shipment will be accepted?

Answer 1

Given:

The rate of defects is 6%.

Ample size is 26.

The shipment is accepted if there is at most one that doesn't meet the required specifications.

The given data follows the binomial distribution,

$X\text{ \textasciitilde{}B}(26,0.06,1)$

It gives,