Find the indicated probabilities using the geometric distribution, the Poisson d

Question

Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities The mean number of oil tankers at a port city is 9 per day. The port has facilities to handle up to 12 oil tankers in a day. Find the probability that on a given day, (a) nine oil tankers will arrive, (b) at most three oil tankers will arrive, and (c) too many oil tankers will arrive. (a) P(nine oil tankers will arrive) 0.1318 (Round to four decimal places as needed.) (b) P(at most three oil tankers will arive) 0.0212 (Round to four decimal places as needed.) (c) P(too many oil tankers will arrive) Round to four decimal places as needed.) A. The event in part (a) is unusual B. The event in part (b) is unusual. C. The event in part (c) is unusual D. None of the events are unusual

Explanation / Answer

partc) mean =9 (lamda)

what is the probability that too many tankers will arrive on a given day?
Can handle 12
P(x > 12) = 1 - poisson(9, 12)

Poisson with mean = 9

x P( X x )
12 0.875773

P(x > 12) = 1 - poisson(9, 12)

=1-0.875773

=0.124227

answer is 0.1242

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