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44 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 150 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal place (b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will excee capacity on a randomly selected day is only 0.04? (Round your answer to two decimal places.) cfs

44 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 150 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal place (b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will excee capacity on a randomly selected day is only 0.04? (Round your answer to two decimal places.) cfs

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 42E
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44 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 150 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.) (b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.04? (Round your answer to two decimal places.) cfs
Transcribed Image Text:44 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 150 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.) (b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.04? (Round your answer to two decimal places.) cfs
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