In: Statistics and Probability
(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.
Table Q5(c)-1 | |||||||||
Number of Breakdowns | Number of Weeks | ||||||||
0 | 96 | ||||||||
1 | 75 | ||||||||
2 | 63 | ||||||||
3 | 42 | ||||||||
4 | 24 |
Table Q5(c)-2 | |||||||||||
77 | 71 | 64 | 74 | 43 | |||||||
54 | 35 | 79 | 51 | 87 | |||||||
82 | 16 | 45 | 66 | 99 | |||||||
81 | 64 | 15 | 67 | 51 | |||||||
91 | 37 | 45 | 59 | 33 |