(c) Sur Power & Utility company is considering to replace the existing high power ammonia compressor with a new one. Maintenance records show the relative frequency of the compressor for 300 week period is given in Table Q5(c)-1.

(i) Use Monte Carlo Simulation, the probability distributions and the random numbers given in Table Q5(c)-2, to simulate the breakdowns which occur in the next 25 week lifespan. Calculate the average number of breakdowns. Decide which blower will have the better reliability if the new blower is expected to have an average one(1) breakdown per week. [7 Marks]

Table Q5(c)-1 Number of Number of Weeks Breakdowns 0 96 1 75 2 63 3 42 4 24 92 86 41 8 75 27 30 65 58 35 Table Q5(c) 2 52 44 65 55 17 100 8 79 86 99 29 98 100 94 14 Table Q5(c)-1 Number of Number of Weeks Breakdowns 0 96 1 75 2 63 3 42 4 24 92 86 41 8 75 27 30 65 58 35 Table Q5(c) 2 52 44 65 55 17 100 8 79 86 99 29 98 100 94 14