For this​ problem, use the fact that the expected value of an event is a probability weighted​ average, the sum of each

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For this​ problem, use the fact that the expected value of anevent is a probability weighted​ average, the sum of each probableoutcome multiplied by the probability of the event occurring.You own a house worth ​$400,000 that is located on a river. If theriver floods​ moderately, the house will be completely destroyed.This happens about once every 20 years. If you build a​ seawall,the river would have to flood heavily to destroy your​ house, whichonly happens about once every 100 years. What would be theannual premium without a seawall for an insurance policy thatoffers full​ insurance? Without a​ seawall, the annual premium is ​$ enter your responsehere.