Answer to Question #199486 in Statistics and Probability for Kaimbilonga

Question #199486

A short term insurance company receives three vehicle claims related calls, on average, per hour. Assume that the daily claims follow a poisson process. how many claims related calls does company expect to receive in a period of three hours?


1
Expert's answer
2021-05-28T10:00:05-0400

Let X=X= the number of claims related calls: XPo(λt)X\sim Po(\lambda t)


λt=3h1(3 h)=9\lambda t=3 h^{-1}(3\ h)=9

IfXX has a Poisson distribution with parameter μ,\mu,


E(X)=V(X)=μE(X)=V(X)=\mu

Therefore company expects to receive 99 claims related calls in a period of three hours.



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