6.46 The life of a street bulb follows an exponential distribution, with an average life ß = 3 years. The bulbs are replaced whenever they fail. Out of the 1000 street bulbs installed in a city, what is the probabil- ity that at most 250 of them will need to be replaced during the first year?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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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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6.46 The life of a street bulb follows an exponential
distribution, with an average life ß = 3 years. The
bulbs are replaced whenever they fail. Out of the 1000
street bulbs installed in a city, what is the probabil-
ity that at most 250 of them will need to be replaced
during the first year?
Transcribed Image Text:6.46 The life of a street bulb follows an exponential distribution, with an average life ß = 3 years. The bulbs are replaced whenever they fail. Out of the 1000 street bulbs installed in a city, what is the probabil- ity that at most 250 of them will need to be replaced during the first year?
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