The number of oil tankers, N, arriving at a certain refinery each day has a Poisson distribution with the parameter λ = 2. Port facilities can service three tankers a day. If more than three tankers arrive in a day, the excess tankers must be sent to another port.
a) On a given day, what is the probability of having to send tankers away?
b) How much must facilities be increased to permit handling all tankers on approximately 90% of the days?
c) What is the expected number of tankers arriving per day?
d) What is the most probable number of tankers arriving daily?
e) What is the expected (mean) number of tankers serviced daily?
f) What is the expected number of tankers turned away daily?

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X No of tankers arriving per day X follows poisson distribution with lambda2 a Psending ... View the full answer