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In a village, power cuts occur randomly at a rate of 3 per year. (a) Find the probability that in any given year there will

In a village, power cuts occur randomly at a rate of 3 per year.

(a) Find the probability that in any given year there will be exactly 7 power cuts.

(b) Find the probability that in the next 10 years the number of power cuts will be less than 19.

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