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3. Accidents occur in a factory according to a Possion Process at the rate of 2 per month. (a) If records start on 1st January, state the distribution of the time to the first accident? How long would...

3. Accidents occur in a factory according to a Possion Process at the rate of 2 per month.

(a) If records start on 1st January, state the distribution of the time to the first accident? How long would you expect to wait for the first accident to occur? [3 marks]
(b) Calculate the probability that no more than 2 accidents occur in the first three months of the year? [4 marks]
(c) An accident occurs on 1st May. How long would you expect to wait in total for the next 2 accidents to occur? Why?

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Answer #1

first accidends as14 A=2 accident s por month A-t = 2e Expacted atng tiwe or fimst accidaust 2. 22t (2t) x.l 0 002479+0 o4872

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