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

MATLAB: An Introduction with Applications
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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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