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The operator of a pumping station has observed that demand
Chapter 4, Problem 91E(choose chapter or problem)
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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QUESTION:
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?
ANSWER:Step 1 of 3
Given
The population of that demand for water during early afternoon hours has an approximately exponential distribution
Population mean \(\beta\) = 100 cfs
a. The demand for water greater than random variable, Y = 200
b. The water pumping capacity, random variable, Y = C
The probability of demand for water to exceed capacity C, P(Y > C) = 0.01
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