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  26 items are readied for​ shipment, and a sample of 3 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 4 defectives will be​ shipped? ​(b) What is the probability that a box containing only 1 defective will be sent back for​ screening?

MATLAB: An Introduction with Applications
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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  26 items are readied for​ shipment, and a sample of 3 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 4
defectives will be​ shipped?
​(b) What is the probability that a box containing only 1
defective will be sent back for​ screening?
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