A small convenience store has two checkout counters. Customers arrive at the checkout counter

at a rate of $15$ per hour in an exponential distribution process. The service times of the cashier

exhibits a uniform distribution with a minimum and maximum times of $(1,8)$ minutes.

Customers go to any available checkout counter. All values of arrival times and service time are

rounded up to integer values.

Simulate the checkout process for $50$ customers and determine the following:

a$)$ Average inter$-$arrival time

b$)$ Average service time

c$)$ Average time customers spent in the checkout counter

d$)$ Average waiting time of the customer

e$)$ Average idle time of the cashier

f$)$ Probability of no customers in the checkout counter

Use the Additive Congruential Method $($X$9$ to X$58)$ for the arrival rate and Multiplicative

Congruential Method $($X$1$ to X$50)$ for the service rate as random numbers to generate random

variates in performing the simulation for $50$ customers