Problem: Consider the following probability distribution for the times between arrival of cars stopping at a New Guernsey toll booth:
Time Probability
5 sec 0.35
10 0.23
15 0.15
20 0.11
25 0.08
30 0.05
35 0.03
Q1. Construct the cumulative probability distribution and determine a random number assignment suitable for simulation. (Use the first two digits of the random numbers).
Q2. Simulate the arrival of 20 cars and calculate the estimated mean time between arrivals.