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Question5 A city water pumping station has four water pumps, each capable of delivering water at a flow rate 200000 litres per hour at a pressure of 800 kPa. In order to maintain adequate water supply to the city three pumps must run continuously with the fourth on active standby. Using the binomial expansion of (F+R)" find the find the probability that three pumps will be running eighteen months after installation if the failure rateA for each pump is 0.85/yr [8 marks]

Answer 1

0 The failu sie nate f Cach pump it ruen a1 sot the uvook probabili t? of each Pump is o15 pes yeay Thu ' the p'obability Df failure of each Pump ela 0,85 l2 1, 2チ5 1.3 st is given that out of 4 pump, 3 ump need lo wok 18 monthi afte in talo ttoo : x C-3)5 x 13 4