Statistis – Exponential Distribution – Expected Value The port of Trop can service only 1 ship at a

Statistics – Exponential Distribution – Expected Value

The port of Trop can service only 1 ship at a time However,
there is mooring space for 3 more ships Trop is a favorite port of call, but,
if no mooring space is available the ships have to go to the next port An
average of 7 ships arrive each week, according to the Poisson process The Port
of Trop has the capacity to handle an average of 8 ships a week, with service
times exponentially distributed What is the expected number of ships waiting
or in service at the Port of Trop?

Please show all work

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