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.
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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