A manufacturing company changes an acceptance scheme on items from a production line before they are shipped. An inspector takes 1 item at random from a box of 21 items, inspects it, and then replaces it in the box; a second inspector does likewise. Finally, a third inspector goes through the same procedure. If any of the three inspectors find a defective, 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 2 defectives will be shipped? (b) What is the probability that a box containing only 1 defective will be sent back for screening? ... (a) The probability that a box containing 2 defectives will be shipped is .7406 (Round to four decimal places as needed.) (b) The probability that a box containing only 1 defective will be sent back for screening is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A manufacturing company changes an acceptance scheme on items from a production
line before they are shipped. An inspector takes 1 item at random from a box of 21
items, inspects it, and then replaces it in the box; a second inspector does
likewise. Finally, a third inspector goes through the same procedure. If any of the three
inspectors find a defective, 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 2 defectives will be shipped?
(b) What is the probability that a box containing only 1 defective will be sent back
for screening?
(a) The probability that a box containing 2 defectives will be shipped is .7406.
(Round to four decimal places as needed.)
(b) The probability that a box containing only 1 defective will be sent back for screening
is
(Round to four decimal places as needed.)
Transcribed Image Text:A manufacturing company changes an acceptance scheme on items from a production line before they are shipped. An inspector takes 1 item at random from a box of 21 items, inspects it, and then replaces it in the box; a second inspector does likewise. Finally, a third inspector goes through the same procedure. If any of the three inspectors find a defective, 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 2 defectives will be shipped? (b) What is the probability that a box containing only 1 defective will be sent back for screening? (a) The probability that a box containing 2 defectives will be shipped is .7406. (Round to four decimal places as needed.) (b) The probability that a box containing only 1 defective will be sent back for screening is (Round to four decimal places as needed.)
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 24 items are readied
for shipment, and a sample of 5 items is 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?
(a) The probability that a box containing 3 defectives will be shipped is
(Round to four decimal places as needed.)
Transcribed Image Text: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 24 items are readied for shipment, and a sample of 5 items is 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? (a) The probability that a box containing 3 defectives will be shipped is (Round to four decimal places as needed.)
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