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?
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?
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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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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