The Andie Shop is a barber shop, and Andie is the only barber. Inter-arrival times of customers are distributed as Table 1. The distribution of Andie's time for a haircut service is shown in Table 2.

Table 1: Distribution of time between arrivals

Inter-arrival time (minutes)	Probability
15	0.4
20	0.3
30	0.2
60	0.1

Table 2: Distribution of service time

Inter-arrival time (minutes)	Probability
10	0.5
15	0.3
20	0.2

Andie is interested in the queue time of customers.

1. Set up intervals of random numbers that can be used to simulate the inter-arrival time in Table 1, and the service time in Table 2.
2. Sketch a simulation table and perform a simulation for 4 new customers. Assume that, when the simulation starts, there is one customer being served and he will be completed in 16 minutes. The 1^st new customer will arrive 11 minutes after the start of the simulation.

Under the random numbers 0.2706, 0.4390, and 0.6392 to generate simulated values for the inter-arrival time between the 1^st and the 2^nd new customers, between the 2^nd and 3^rd new customers, and between the 3^rd and the new 4^th new customers, respectively.

Use the random numbers 0.9453, 0.2518, 0.1004, and 0.6568 to generate simulated values for the service time of the 4 new customers, respectively.

What is the average time in the queue for the 4 new customers?