Exercise 11 79 A queue has three servers A1, A2, A3, and their service times are independent random variables, Ai s service times having the exponential distribution with parameter i An arriving customer finds all three servers unoccupied and chooses one at random, each being equally likely If the customer is still being served at time t , what is the probability that A1 was chosen

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Question: Exercise 11.79 A queue has three servers A1, A2, A3, and their service times are independent random variables, Ai s service times having the exponential

Exercise 11.79 A queue has three servers A1, A2, A3, and their service times are independent random variables, Ai ’s service times having the exponential distribution with parameter μi . An arriving customer finds all three servers unoccupied and chooses one at random, each being equally likely. If the customer is still being served at time t , what is the probability that A1 was chosen?

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