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Consider a queuing system where customers arrive according to a Poisson process with a mean rate of 5 per hour. Service times have an exponential distribution with a mean of 10 minutes. Service is provided on a first-come-first-served basis. 1.1 What is the probability distribution (including its mean) and cumulative distribution function of the time between consecutive arrivals of customers. (6) 1.2 Develop a simulation model for this queuing system. Clearly define any variables that you may use and give the corresponding initial values where necessary. Assume that the maximum length of the simulation is 3000 hours. Run your code and comment on the efficiency of the system