The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). a) Find the probability that the demand will exceed 200 cfs during the early afternoon on a randomly selected day. b) What water-pumping capacity should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only .01?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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The operator of a pumping station has observed that demand for water during early afternoon 
hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second).
a) Find the probability that the demand will exceed 200 cfs during the early afternoon on a
randomly selected day.
b) What water-pumping capacity should the station maintain during early afternoons so
that the probability that demand will exceed capacity on a randomly selected day is
only .01?

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