In a newly revamped huge city hall, fluorescence lamps are installed in 113 large exhi- bition rooms, 45 for each room. The lifetime of each lamp independently follows the exponential distribution with a mean lifetime of 60 days. Find the probability that, after 50 days, there are at most 94 rooms having less than 22 working lamps.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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  1. In a newly revamped huge city hall, fluorescence lamps are installed in 113 large exhi- bition rooms, 45 for each room. The lifetime of each lamp independently follows the exponential distribution with a mean lifetime of 60 days.

    Find the probability that, after 50 days, there are at most 94 rooms having less than 22 working lamps.

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