Question: Computer programs are sent to be executed on a university server. Programs arrive at the server at a rate of 10 per minute. The average

Computer programs are sent to be executed on a university server. Programs arrive at the server at a rate of 10 per minute. The average execution time of each program is 5 seconds and both the inter-arrival times and the execution times are exponentially distributed. Answer the following utilizing queuing theory

a) What proportion of time is the server idle? b) What is the total expected exit time of a program? c) What is the average number of programs waiting in the system queue?

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