Question: A bank branch is working without a break between 8.00am and 6.00pm. During the lunch time (between noon and 2pm), junior employees replace seniors. You
A bank branch is working without a break between 8.00am and 6.00pm. During the lunch time (between noon and 2pm), junior employees replace seniors. You plan to go to the bank today anytime between 12.15am and 3.30pm. You assume your arrival time to the bank is a continuous uniform random variable. In this special bank, as soon as you arrive, you start being served and once the service begins, the employee who serves you does not change until the service is completed. The service time of the senior employees is exponentially distributed with rate 0.2395 per minute and for junior employees the rate is 0.0971 per minute. What is the expected time until your service is completed in minutes?
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