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An insurance company receives on average 2 claims per week from a certain factory. Assuming that the number of claims follows a Poisson distribution, find

An insurance company receives on average 2 claims per week from a certain factory. Assuming that the number of claims follows a Poisson distribution, find the probability that

 

(a) it receives more than 3 claims in a given week,

 

(b) it receives more than 2 claims in a given fortnight,

 

(c) it receives no claims on a given day, assuming that the factory operates on a 5-day week.

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