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A pumping station operator observes that the demand for water at a certain hour of the day can be modeled as an exponential random variable with a mean of 105 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 200 cfs on a randomly selected day. (b) Find the probability that the demand will not exceed 200 cfs in either of the next two days. (c) What is the maximum water-producing capacity that the station should keep on line for this hour so that the demand will exceed this production capacity with probability of only 0.01? (d) If the mean demand of water increased to 140 cfs, what is the probability that the demand will exceed 20O cfs?

A pumping station operator observes that the demand for water at a certain hour of the day can be modeled as an exponential random variable with a mean of 105 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 200 cfs on a randomly selected day. (b) Find the probability that the demand will not exceed 200 cfs in either of the next two days. (c) What is the maximum water-producing capacity that the station should keep on line for this hour so that the demand will exceed this production capacity with probability of only 0.01? (d) If the mean demand of water increased to 140 cfs, what is the probability that the demand will exceed 20O cfs?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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A pumping station operator observes that the demand for water at a certain hour of the day can be modeled as an exponential random variable with a mean of 105 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 200 cfs on a randomly selected day. (b) Find the probability that the demand will not exceed 200 cfs in either of the next two days. (c) What is the maximum water-producing capacity that the station should keep on line for this hour so that the demand will exceed this production capacity with probability of only 0.01? (d) If the mean demand of water increased to 140 cfs, what is the probability that the demand will exceed 200 cfs?
Transcribed Image Text:A pumping station operator observes that the demand for water at a certain hour of the day can be modeled as an exponential random variable with a mean of 105 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 200 cfs on a randomly selected day. (b) Find the probability that the demand will not exceed 200 cfs in either of the next two days. (c) What is the maximum water-producing capacity that the station should keep on line for this hour so that the demand will exceed this production capacity with probability of only 0.01? (d) If the mean demand of water increased to 140 cfs, what is the probability that the demand will exceed 200 cfs?
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