The mean number of oil tankers at a port city is 15 per day the process faciliti

Question

The mean number of oil tankers at a port city is 15 per day the process facilities to handle up to 18 oil tankers and a day find the probability that on a given day 15 oil tankers will arrive, at most three oil tankers will arrive, and too many oil tankers will arrive. The mean number of oil tankers at a port city is 15 per day the process facilities to handle up to 18 oil tankers and a day find the probability that on a given day 15 oil tankers will arrive, at most three oil tankers will arrive, and too many oil tankers will arrive. The mean number of oil tankers at a port city is 15 per day the process facilities to handle up to 18 oil tankers and a day find the probability that on a given day 15 oil tankers will arrive, at most three oil tankers will arrive, and too many oil tankers will arrive.

Explanation / Answer

This is Poisson distribution with lambda=15

We know that P(x)=e^-lembda*lembda^x/x!

P(x=15)=0.1024

P(x>3)=0.9998

P(x>18)=0.1805

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