Suppose you own a house that you purchased for $799,000 in 2021, and the house itself (excluding the land value) is worth $399,000. Your home insurance policy does not cover insurance against fire. The insurance company quotes a price of an additional $1197 a year to fully insure your house against fire damage. a. Suppose you are a risk-neutral expected payoff maximiser who has a good estimate of the probability ( [0,1]) that your house might burn next year. At what probability p would you be indifferent between insuring and not insuring your home against fire for a premium of $1197 a year?