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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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.)
Find the probability of being dealt a hand of 16 cards containing 3 spades, 5 hearts, 4
diamonds, and 4 clubs from an ordinary deck of 52 cards.
The probability of being dealt a hand containing 3 spades, 5 hearts, 4 diamonds, and 4
clubs is.
(Round to four decimal places as needed.)
Transcribed Image Text:Find the probability of being dealt a hand of 16 cards containing 3 spades, 5 hearts, 4 diamonds, and 4 clubs from an ordinary deck of 52 cards. The probability of being dealt a hand containing 3 spades, 5 hearts, 4 diamonds, and 4 clubs is. (Round to four decimal places as needed.)
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Note: As per our guidelines we are supposed to answer only one question per post so i am solving first question only please post the other question separately to get answer 

(a) Number of boxes = 24

    Number of defective = 5

    


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