The Quality Manager for Microelectronics,Inc.is concerned about the quality of the batch of several thousand IC's (integrated circuits)which his company is about to ship.If he uses an acceptance sampling plan of n = 20 and c = 1,what is the probability that,if this batch is 15% defectives,it will be rejected and completely inspected prior to shipment?
A)0.0263
B)0.1237
C)0.1756
D)0.8244
E)0.9737

Question

Quizplus · Accepted Answer

The probability of rejecting the batch is the probability of finding more than 1 defective in a sample of 20. This is calculated using the binomial distribution with p = 0.15, n = 20, and c = 1. The probability of 0 or 1 defectives is subtracted from 1 to find the probability of more than 1 defective.