Problem 2.9. In a certain survey of the work of chemical research workers, it was found, on the basis of extensive data, that on average each man required no fume cupboard for 60% of his/her time, one cupboard for 30% and two cupboards for 10%; three or more were never required. If a group of four chemists worked independently of one another, how many fume cupboards should be available in order to provide adequate facilities for at least 95% of the time?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Problem 2.9. In a certain survey of the work of chemical research workers, it
was found, on the basis of extensive data, that on average each man required
no fume cupboard for 60% of his/her time, one cupboard for 30% and two
cupboards for 10%; three or more were never required. If a group of four
chemists worked independently of one another, how many fume cupboards
should be available in order to provide adequate facilities for at least 95% of
the time?
Transcribed Image Text:Problem 2.9. In a certain survey of the work of chemical research workers, it was found, on the basis of extensive data, that on average each man required no fume cupboard for 60% of his/her time, one cupboard for 30% and two cupboards for 10%; three or more were never required. If a group of four chemists worked independently of one another, how many fume cupboards should be available in order to provide adequate facilities for at least 95% of the time?
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