Messages Arrive Electronic Mail Server According Poisson Process Average Frequency 5 Messa Q43823358
Messages arrive at an electronic mail server according to aPoisson process with the average frequency of 5 messages perminute. The server can process only one message at a time, andmessages are processed on a “first come – first serve” basis. Ittakes an Exponential amount of time U to process any text message,plus an Exponential amount of time V , independent of U, to processattachments (if there are any), with E(U) = 2 seconds and E(V ) = 7seconds. Forty percent of messages contain attachments. Estimate202 Probability and Statistics for Computer Scientists the expectedresponse time of this server by the Monte Carlo method. (Noticethat because of the attachments, the overall service time is notExponential, so the system is not M/M/1.).
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