Compute the expected number of cars arriving in Problem 14-15 using the expected value formula. Compare this with the results obtained in the simulation.

Problem 14-15

The number of cars arriving per hour at Lundberg’s Car Wash during the past 200 hours of operation is observed to be the following:

NUMBER OF CARS ARRIVING FREQUENCY

3 or fewer ............. 0

4 ................20

5 ................30

6 ................50

7 ................60

8 ................40

9 or more ............. 0

Total 200

(a) Set up a probability and cumulative probability distribution for the variable of car arrivals.

(b) Establish random number intervals for the variable.

(c) Simulate 15 hours of car arrivals and compute the average number of arrivals per hour. Select the random numbers needed from the first column of Table 14.4, beginning with the digits 52.

Transcribed Image Text:

52 06 50 88 53 30 10 47 99 37 66 91 35 32 00 84 57 07 37 63 28 02 74 35 24 03 29 60 74 85 90 73 59 55 17 60 82 57 68 28 05 94 03 11 27 79 90 87 92 41 09 25 36 77 69 02 36 49 71 99 32 10 75 21 95 90 94 38 97 71 72 49 98 90 94 36 06 78 23 67 89 85 29 21 25 73 69 34 85 76 96 52 62 87 49 56 59 23 78 71 72 90 57 01 98 57 31 95 33 69 27 21 11 60 95 89 68 48 17 89 34 09 93 50 44 51 50 33 50 95 13 44 34 62 64 39 55 29 30 64 49 44 30 16 62 34 56 62 88 32 18 50 31 15 40 90 34 51 95 26 14 57 92 90 30 36 24 69 82 51 74 30 35 36 85 01 55 64 09 85 50 48 61 18 85 23 08 54 17 12 80 69 24 84 92 16 49 59 27 88 21 62 69 64 48 31 12 73 02 68 00 16 16 46 13 85 45 14 46 32 13 49 66 62 74 41 86 98 92 98 84 54 33 40 81 02 01 78 82 74 97 37 45 31 94 99 42 49 27 64 89 42 74 27 76 03 66 83 14 33 11 97 59 81 72 00 64 61 13 52 74 05 81 82 93 09 96 33 52 78 13 06 28 30 94 23 37 39 30 34 87 01 74 11 46 82 59 94 25 34 32 23 17 01 58 73 72 62 74 68 09 59 55 33 13 22 44 42 32 46 71 79 45 89 77 50 80 67 09 98 99 25 03 32 36 63 65 75 94 19 95 88 85 60 77 46 63 71 69 44 22 03 14 48 69 13 30 50 33 24 60 08 19 29 36 72 30 27 50 64 85 72 75 29 87 05 75 01 80 45 86 99 02 34 87 08 86 84 49 76 24 08 01 86 29 11 53 84 49 63 26 65 72 84 85 63 26 02 75 26 92 62 40 67 69 84 12 94 51 36 17 02 15 29 16 52 56 43 26 22 08 62 37 77 13 10 02 18 31 19 32 85 31 94 81 43 31 58 33 51