Pacific Manufacturing Company has a 2.5 HP industrial pump which, in the recent past, has shown some problems. This has interrupted the production line and has led to unexpected down time of the production line. The maintenance department is considering to take preemptive measures to face this problem. Table 3.a shows the frequency of breakdown of the pump over the past year (52 weeks), which was taken from the company's maintenance records. No. of No. of Week Week Week Week Week BDs BDs BDS BDs 23 No. of No. of No. of BDs 1 4 12 2 1 34 0 45 3 2 3 13 4 24 1 0 46 4 35 36 3 3 14 4 25 0 47 3 3 0 4 3 15 3 26 37 3 48 2 5 3 16 0 27 1 38 4 49 4 6 3 17 3 28 1 39 4 50 1 7 4 18 1 29 1 40 1 51 3 8 0 19 2 30 41 0 52 2 1 2 9 1 20 0 31 1 42 43 10 1 2 32 1 0 21 22 11 0 4 33 4 44 0 64 40 59 46 Table 3.a - Frequency of breakdown in the past one year a. From the data given in Table 3.a, prepare a probability distribution table (PDT). b. Using the random numbers given in Table 3.b, simulate the probable breakdowns of the pump for the coming year (next 52 weeks). 62 63 29 97 20 79 98 8 44 74 2 27 94 35 53 99 65 54 33 37 45 31 55 11 95 32 88 43 76 96 58 73 78 85 82 12 34 39 87 36 66 50 15 Table 3.b - Random Number Table c. From the data obtained, suggest a suitable course of action which is most appropriate for the company. Justify your statement with proper reasons. 75 25 51 84 17