Question

The water supply system for a city consists of a storage tank an from a reservoir some distance away (Figure 2). The amount reservoir is variable depending on the precipitation in th Consequently, the amount of water stored in the tank would be aso consumption of water also fluctuates considerably. To simplify the problem, denote 3.2 d a pipe line supplying water of water available from the ). e watershed (among other things A available water supply from the reservoir is low B water stored in the tank is low level of consumption is low and assume that P(A) 0.20, P(B) 0.15, P(C) 0.50. C Th e reservoir supply is regulated to a certain extent to meet the demand, so that 0.75 PCA 1 C)-PCreservoir supply is high | consumption is high) Also, P(B | A) 0.5, whereas the amount of water stored is independent of the demand. Suppose that a water shortage will occur when there is high demand (or consumption) for water and either the reservoir supply is low or the stored water is low. What is then the probability of a water shortage? Assume that P(ABIC) 0.5 P(AB) Overtuming Storage Tank Pipe Fill City Wall Figure 2 Rock Figure 3

Answer 1