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during the evening shift at kroger only one full service lane is open with 1 cashier...

during the evening shift at kroger only one full service lane is open with 1 cashier , customers arrive at the checkout lane according to a poisson process with rate of 30 per hour. the cashier works at an exponential rate of 45 per hourand there is no limit on the number of people per line.

what is the expected amount of time in minutes for a customer to spend in the system(from when they get in line to they depart with groceries?

what is the expected amount of time in hours for a person to spend waiting in line?

what is the expected number of people in the system?
Math   Statistics-And-Probability   
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hii... although I am trying to provide the detailed answer but if you have any doubt please ask by comment. please like the answer. thanks..

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