The number of traffic accidents on successive days are independent Poisson random variables with mean 2. (a)

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The number of traffic accidents on successive days are independent Poisson random variables with mean 2.

(a) Find the probability that 3 of the next 5 days have two accidents.

(b) Find the probability that there are a total of six accidents over the next 2 days.

(c) If each accident is independently a “major accident” with probability p, what is the probability there are no major accidents tomorrow?

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