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In a particular state, a major flood happens once every 3years on average. If you can assume floods are independent, and that two floods cannot happen simultaneously, find the following:

(a) The probability that a flood happens within the first 5 years.

(b) The probability that a flood happens after the first 2 years.

(c) If there has been no flood for 4 years, what is theprobability there is a flood in the next 2 years?

(d) The expected time until a flood happens, and the standard deviation.

(e) Find the 50th percentile of the time until a flood.

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