In any year, the weather can inflict storm damage to a home. From year to year, the damage is random. Let Y denote the dollar value of damage in any

given year. Suppose that in 95% of the years Y = $0, but in 5% of the years Y = $19,051.?

Consider an "insurance pool" of 100 people whose homes are sufficiently dispersed so that, in any year, the damage to different homes can be viewied as independently distributed random variables. Let Y denote the average damage to these 100 homes in a year. E(Y), the expected value of the average damage Y, is $ (Round your response to two decimal places.) The probability that Y exceed $2,000 is (Round your response to four decimal places.)