The number of ships arriving at a given port in one day is Poisson distributed with the expected value 2.6. The port has the capacity to accommodate a maximum of 5 vessels per day without additional staff being called in. What is the probability that during a 7-day period you need to call in extra staff for at least 2 days? The vessels may be assumed to arrive at the port independently of each other.

The number of ships arriving at a given port in one day is Poisson distributed with the expected value 2.6. The port has the capacity to accommodate a maximum of 5 vessels per day without additional staff being called in. What is the probability that during a 7-day period you need to call in extra staff for at least 2 days? The vessels may be assumed to arrive at the port independently of each other.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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