The Neatee Eatee Hamburger Joint specializes in soyabean burgers. Customers arrive according to the following inter - arrival times between 11.00 am and 2.00 pm:

Interval-arrival times [mts]                          probability

3                                                                      0.30

5                                                                      0.20

6                                                                      0.15

8                                                                      0.20

10                                                                    0.15

People who want burgers arrive in single or groups [2 or more]. The following distribution of arrivals has been observed:

# of people                  probability

1                                0.40

2                                 0.30

3                                 0.20

4                                0.10

Each customer orders between 1 or 2 burgers as shown below:

Burger/person              probability

1                                       0.75

2                                       0.25

Due to fluctuation in burger eating habits, time taken per burger is:

Length of stay [mts]               probability

10                                           0.25

15                                           0.45

20                                           0.35

[if a group enters the joint, the time in the system for the group is determined by the longest length of stay for an individual in the group]

Simulate the behavior of the hamburger joint for 10 hours

1. how many burgers would have to be made on average per hour?
2. What is the frequency distribution of the stay of a group [2 or more] in the dining area?