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The operator of a pumping station has observed that demand for water during early after- noon
hours has an approximately exponential distribution with mean 100cfs (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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  • 1. The operator of a pumping station has observed that demand for water during early after- noon hours has an approximately exponential distribution with mean 100cfs (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?