Question

In: Statistics and Probability

A manufacturing company prepares a box of 25 items for shipment, and a random sample of...

A manufacturing company prepares a box of 25 items for shipment, and a random sample of 3
items is selected and 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.

What is the distribution of the number of defective items found in the random
sample? (I think it is NegBin)

What is the probability that a box containing 3 defectives will be shipped?

What is the probability that a box containing 1 defective will be sent back for
screening?

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