An insurance oompany knows that the yearly total number of damages from natural disasters in a given locality is a Poisson random variable, X N Poisson}. They also kno'ilir that the probability of no damages in given three years is ill a. Find the mean and variance of number of damages per year. b. If the company pays llll$ for each damage in a year after the rst two such damages in that year. What is the expected amount of money paid by the company in a year