Question 1
Historical records on a certain product indicate the following behavior for demand. The data represent the 288 days that the business was open during 2000. Convert these data into random number intervals.
| Demand in cases | Number of occurrences |
| 7 | 52 |
| 8 | 9 |
| 9 | 14 |
| 10 | 39 |
| 11 | 72 |
| 12 | 102 |
Question 2
A small store is trying to determine if its current checkout system is adequate. Currently, there is only one cashier, so it is a single-channel, single-phase system. The store has collected information on the interarrival time, and service time distributions. They are represented in the tables below. Use the following two-digit random numbers given below to simulate 10 customers through the checkout system. What is the average time in line, and average time in system? (Set first arrival time to the interarrival time generated by first random number.
| Interarrival time (minutes) | Probability | | Service time (minutes) | Probability |
| 3 | .25 | | 1 | .30 |
| 4 | .25 | | 2 | .40 |
| 5 | .30 | | 3 | .20 |
| 6 | .20 | | 4 | .10 |
Random numbers for interarrival times: 07, 60, 77, 49, 76, 95, 51, 16, 14, 85
Random numbers of service times: 57, 17, 36, 72, 85, 31, 44, 30, 26, 09
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