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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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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