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| Question 1195422:  A pharmacist working in Black lion Specialized Hospital wants to secure the availability of  Urografin 76% injection. To evaluate the current inventory policy for this drug, he got a 2 years  average weekly-dispensed data at hand.
 Weeks	Unit
 dispensed
 11	1
 20	1
 48	1
 55	1
 85	1
 12	2
 32	2
 42	2
 56	2
 67	2
 72	2
 10	3
 31	3
 6	4
 22	4
 43	4
 47	4
 49	4
 71	4
 80	4
 94	4
 5	5
 13	5
 21	5
 26	5
 37	5
 39	5
 46	5
 50	5
 57	5
 58	5
 69	5
 74	5
 79	5
 4	6
 15	6
 18	6
 30	6
 38	6
 70	6
 76	6
 86	6
 3	7
 7	7
 16	7
 19	7
 34	7
 40	7
 44	7
 51	7
 61	7
 68	7
 77	7
 8	8
 14	8
 17	8
 28	8
 33	8
 35	8
 41	8
 45	8
 59	8
 64	8
 66	8
 75	8
 81	8
 103	8
 1	9
 9	9
 27	9
 36	9
 60	9
 62	9
 65	9
 104	9
 73	10
 90	10
 93	10
 101	10
 89	11
 100	11
 102	11
 2	12
 83	12
 92	12
 99	12
 88	13
 91	13
 25	14
 52	14
 84	14
 87	14
 98	14
 29	15
 95	15
 23	16
 78	16
 97	16
 54	17
 53	18
 63	18
 82	18
 96	18
 24	19
 3. When the injectable Urografin is stocked out, the pharmacist have an alternative infusion of Trazograf 76%. Each time the injectable is out of stock, he orders the prescribers to switch to  Trazograf 76%, a far more expensive contrasting agent, which increases total cost per patient  significantly.
 a. What is the probability to meet demand from the combined inventory?
 b. What is the probability that demand is less than the combined inventory but more than that of the Urografin 76% injection alone?
 c. Considering the combined inventory, what is the probability of a stock out?
 
 Answer by ikleyn(52879)
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