Suppose that, in a coastal area, during the hurricane season from August through November, hurricanes hit the

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Suppose that, in a coastal area, during the hurricane season from August through November, hurricanes hit the coast with a monthly rate of 1.15, and outside the hurricane season the rate is 0.3 per month. The monthly number of hurricanes are independent Poisson r.v.’s. Find the probability that there will be not less than 7 hurricanes during a year.

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