please write out answer A pharmaceutical company receives large shipments of asp

Question

please write out answer

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 27 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 3% rate of defects,
a. what is the probability that this whole shipment will be accepted?

The probability that this whole shipment will be accepted is_____ .(Round to three decimal places as needed.)

Explanation / Answer

Given condition that accept the whole batch if there is only one or none that doesn't meet the required specifications.

That is x = 0 or x =1

So required probability for acceptance is

p(x = 0 OR x = 1) = 27C0 0.030 * 0.9727 + 27C1 0.031 0.9726

= 0.4394 + 0.3669

= 0.806 (Rounding to three decimal places).

The probability that this whole shipment will be accepted is 0.806.

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.