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.