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

On a university server computer programs are sent to be executed. 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. 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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