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 an unexpected downtime 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 companys maintenance records.

Week	No. of BDS	Week	No. of BDs	Week	No. of BDs	Week	No. of BDs	Week	No. of BDs
1	2	12	1	23	1	34	0	45	2
2	3	13	4	24	1	35	0	46	4
3	0	14	0	25	0	36	1	47	1
4	0	15	4	26	3	37	4	48	2
5	4	16	0	27	4	38	1	49	2
6	1	17	2	28	3	39	2	50	0
7	3	18	1	29	3	40	4	51	0
8	4	19	1	30	3	41	1	52	2
9	1	20	3	31	3	42	4	?	?
10	3	21	3	32	2	43	4	?	?
11	4	22	1	33	3	44	2	?	?

a. From the data given in Table above prepare a probability distribution table (PDT). b. Using the random numbers given in Table below Random Number simulate the probable breakdowns of the pump for the coming year (next 52 weeks).

72	83	43	55	78	63	85	6	37	48	77	49	36
4	94	95	31	93	91	99	69	15	44	98	23	65
41	66	18	60	40	46	89	96	68	88	45	34	86
81	27	5	26	21	67	13	16	92	8	62	2	17

Random Table

c. From the data obtained, suggest a suitable course of action that is most appropriate for the company. Justify your statement with proper reasons.