The number of bacterial colonies on a petri dish can be modelled by a Poisson distribution with

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The number of bacterial colonies on a petri dish can be modelled by a Poisson distribution with average number 2.5 per cm. Find the probability that

(a) in 1 cm2 there are no bacterial colonies,

(b) in 2 cm there are more than four bacterial colonies,

(c) in 4 cm there are six bacterial colonies.

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