Let p(y) denote the probability function associated with a Poisson random variable with mean ?. We know that p(y) is maximized when y = greatest integer less than or equal to ?. If the number of phone calls to the fire department, Y, in a day has a Poisson distribution with mean 8.3, what is the most likely number of phone calls to the fire department on any day?

Let p(y) denote the probability function associated with a Poisson random variable with mean ?. We know that p(y) is maximized when y = greatest integer less than or equal to ?. If the number of phone calls to the fire department, Y, in a day has a Poisson distribution with mean 8.3, what is the most likely number of phone calls to the fire department on any day?

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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Question

Let

p(y)

denote the probability function associated with a Poisson random variable with mean ?. We know that

p(y)

is maximized when y = greatest integer less than or equal to ?. If the number of phone calls to the fire department, Y, in a day has a Poisson distribution with mean 8.3, what is the most likely number of phone calls to the fire department on any day?

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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