Answer to Question #94789 in Statistics and Probability for Laura

Question

20. A manufacturing company uses an acceptance scheme on items from a production
line before they are shipped. The plan is a two-stage one. Boxes of 25 items are
readied for shipment, and a sample of 3 itemsis tested for defectives. If any defectives
are found, the entire box is sent back for 100% screening. If no defectives are found,
the box is shipped.
(a) What is the probability that a box containing 3 defectives will be shipped?
(b) What is the probability that a box containing only 1 defective will be sent back
for screening?

21. Suppose that the manufacturing company in Exercise 20 decided to change its accept- ance scheime. Under the new scheme an inspector takes one at random. inspects it. and then replaces it in the box: a second inspector does likewise. Finally. a third inspector goes through the same procedure. The box is not shipped if any of the three find a defective. Answer parts (a) and (bi of Exercise 20 under this new plan.

Answer 1

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