a pawn shop in Arlington, Texas, has a drive-through window to better serve cust

Question

a pawn shop in Arlington, Texas, has a drive-through window to better serve customers. The following tables provide information about the time between arrivals and the service times required at the window on a particularly busy day of the week. All times are measured in minutes Time Between Arrivals 1 2 3 4 Probability 0.1 0.3 0.4 0.2 Random Numbers 01-10 11-40 41-80 81-00 Service Time 1 2 3 4 Probability 0.2 0.4 0.3 0.1 Random Numbers 00-20 21-60 61-90 91-00 a. Generate a simulation analysis from the data from Table 15-3. b. According to Table 15-3, the time between successive arrivals is 1, 2, 3, or 4 minutes. If the store opens at 8:00 AM and random numbers are used to generate arrivals, what time would the first customer arrive if the first random number were 02?

Explanation / Answer

Since the 1st random no. is 2, therefore, the 1st customer will arrive 1 min after the shop opens i.e. at 8:01 am.

Because the corresponding time to arrival for a random no. 2, is 1 min.

Time between arrivals Time between arrival probability cumulative probability random nos. 1 0.1 0.1 1-10 2 0.3 0.4 11-40 3 0.4 0.8 41-80 4 0.2 1 81-00

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