Question

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The water supply system for a city consists of a storage tank and a pipe line supplying water rom a reservoir some distance away. The amount of water available from the reservoir is ariable depending on the precipitation in the watershed (among other things). Consequently, he amount of water stored in the tank would be also variable. The consumption of water also luctuates considerable. To simplify the problem, denote A-available water supply from the eservoir is low, B = water stored in the tank is low, and C-level of consumption is low Assume also that P (A)-20%, P (B)-15%, and P (C)- 50%. The reservoir supply is egulated to a certain extent to meet the demand so that P (AB) P (reservoir supply is high consumption is high,-75%. Also, P (BIA)-50% whereas the amount of water stored is Suppose that a water shortage will occur when there is high demand (or consumption) for water ut either the reservoir supply is low or the stored water is low. What is then the probability of a water shortage? Assume that P (AnB C) 0.5 P(AnB).

Answer 1