Question: (6 marks) QUESTION 3 m. Ju A post office has a single drive-in window for customers' convenience. The arrival rate of customers follows a Poisson

(6 marks) QUESTION 3 m. Ju A post office has a

(6 marks) QUESTION 3 m. Ju A post office has a single drive-in window for customers' convenience. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is 10 customers per hour and the average service time is three minutes per customer. (a) Calculate the probability that the system is empty. (b) Determine the average number of customers in the queuing system

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