A family is considering a move fram a mudwestern oty to a city in California. The distribution of housing costs whiere the family cartently lives is normal, with mean $105,000 and standard deviation $18,200. The distribution of housing costs in the Calfornia city is normal wath mean $235,000 and standard deviation $30,400. The family's current house is valued at $110,000. a. What percentage of houses in the family's current city cost less than theurs? (Roond your answer to one decamal place, if necessary) % b. If the family buys a $200,000 house in the new city, what percentage of houses there will cost less than theirs? (Round your answer to one decamal place, if necessary.) 3% c. What price house will the family need to buy to be in the same percente (of housing costs) in the new city as they are in the current oby? (Round your answer to the nearest whole dollat, if necessary.)