the problem :
the pro 2:
sol of pro 2:
random number :
Problem 4: considering problem 2, use random numbers from the third column of random Table, beginning with the random digits 50. Calculate average waiting time and average idle time for 10 customer Problem 2: Clark Property Management is responsible for the maintenance, rental, and day-to-day operation of a large apartment complex on the east side of New Orleans. George Clark is especially concerned about the cost projections for replacing air conditioner compressors. He would like to simulate the number of compressor failures each year over the next 20 years. Using data from a similar apartment building he manages in a New Orleans suburb, Clark establishes a table of relative frequency of failures during a year as shown in the following table: NUMBER OF A.C. COMPRESSOR FAILURES 0 1 2 PROBABILITY (RELATIVE FREQUENCY) 0.06 0.13 0.25 0.28 0.20 0.07 0.01 3 4 5 6 He decides to simulate the 20-year period by selecting two-digit random numbers from the third column of Random Table, starting with the random number 50. Conduct the simulation for Clark. Is it common to have three or more consecutive years of operation with two or fewer compressor failures per year? PROBABILITY ACCUMULATIVE No of AC compressor failures RANDOM NUME INTERVALS PROBABILITY 0 0.06 0.06 1-6 1 0.13 7-19 0.19 2 0.25 044 20-44 3 0.28 0.72 45.72 73-92 4 0.20 0.92 5 0.07 0199 93-99 6 0.01 year AC Failure Random Number 118 1. 2. 20 22 3. 156 4. 5. 6. 7. 27 2 8 3 SO 9. TE 10. 11 61 3 2 12 21 13. 46 3 14 1 0 15 1 14 16. 81 4 17. 67 3 19. 50 32 00 84 57 07 52 06 50 37 63 28 88 02 479 37 03 29 60 73 9 55 53 30 10 74 35 24 05 94 03 71 99 32 6 91 35 74 85 90 90 8792 95 90 94 825768 28 11 2779 41 09 25 17 60 36 77 72 49 49 10 75 21 38 97 1 36 06 78 23 89 85 29 21 15 69 34 85 67 23 73 01 87 78 71 98 57 31 69 02 36 98 94 90 % 52 62 33 6 27 50 33 50 88 32 18 76 95 51 89 09 93 50 4 21 95 68 8 439 62 72 90 37 179 34 55 9 30 15 40 90 36 85 01 64 49 4 30 16 49 56 59 || 60 95 13 4 34 625734 69 82 51 85 23 08 69 64 48 50 4 51 95 56 62 31 74 30 35 26 14 09 85 90 30 36 24 55 64 50 48 61 18 54 17 12 80924 84 92 92 16 16 49 59 62 31 1273 02 68 00 16 46 1385 27 88 21 45 14 46 81 02 01 13 496 98 32 78 7 49 27 86 9 92 94 99 42 59 81 72 136 28 74 03 82 74 2776 93 09 74 11 00 82 6 30 62 74 41 37 45 31 33 117 33 5278 82 59 4 68 22 4 50 3 32 2203 85 46 66 83 14 74 05 81 30 34 87 59 55 72 67 09 80 60 746 23 62 4 4 33 40 64 89 42 4 61 13 52 4 23 379 17 01 58 73 11 79 45 89 94 19 95 88 30 50 33 24 8705 75 01 13 74 01 33 98 63 25 34 32 42 932 36 63 65 6 15 77 75 99 11 4 29 27 50 64 08 86 84 99 01 60 08 19 80 45 86 53 84 49 69 84 12 36 72 30 02 34 87 26 65 72 51 36 17 14 8 9 13 8572 75 29 49 76 24 08 26 02 5 26 16 2 36 43 31 4 81 43 63 84 8563 86 29 11 62 40 67 22 08 62 94 02 92 26 31 1520 377713 10 02 18 31 193285 58 331