In an experiment with a radioactive substance the number of particles reaching a counter over a given

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In an experiment with a radioactive substance the number of particles reaching a counter over a given period of time follows a Poisson distribution with mean 22. Find the probability that the number of particles reaching the counter over the given period of time is

(a) less than 22,

(b) between 25 and 30,

(c) 18 or more.

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