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A factory is producing boxes of toys. It is known that each box has 50 toys, and exactly 5 of them are broken. An inspector is hired to inspect the outputs of the factory. He first randomly chooses a box from the outputs of the factory. Then he draws 8 toys from the chosen box without replacement. If at least 3 of the chosen toys are broken, the box is marked "substandard". Find the expected number of boxes the inspector has to look at before identifying 10 substandard boxes.

A factory is producing boxes of toys. It is known that each box has 50 toys, and exactly 5 of them are broken. An inspector is hired to inspect the outputs of the factory. He first randomly chooses a box from the outputs of the factory. Then he draws 8 toys from the chosen box without replacement. If at least 3 of the chosen toys are broken, the box is marked "substandard". Find the expected number of boxes the inspector has to look at before identifying 10 substandard boxes.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A factory is producing boxes of toys. It is known that each box has 50 toys, and exactly 5 of them are broken. An inspector is hired to inspect the outputs of the factory. He first randomly chooses a box from the outputs of the factory. Then he draws 8 toys from the chosen box without replacement. If at least 3 of the chosen toys are broken, the box is marked "substandard". Find the expected number of boxes the inspector has to look at before identifying 10 substandard boxes.
Transcribed Image Text:A factory is producing boxes of toys. It is known that each box has 50 toys, and exactly 5 of them are broken. An inspector is hired to inspect the outputs of the factory. He first randomly chooses a box from the outputs of the factory. Then he draws 8 toys from the chosen box without replacement. If at least 3 of the chosen toys are broken, the box is marked "substandard". Find the expected number of boxes the inspector has to look at before identifying 10 substandard boxes.
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