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Lucas has purchased the insurance policy from an insurance company to cover the value of his house in case if it gets destroyed due to an earthquake for the price of $600 per year. Lucas's house is worth $230000 and the probability that fire destroys the house during the length of the policy is estimated to be 0.04%. Let X be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for X : X outcome profit . P(X = =) claim filed 0.0004 no claim filed 2. Use the probability distribution table to find the following: a. EX HX dollars. (Round the answer to 1 decimal place. ) b. SD X = OX dollars. ( Round the answer to 1 decimal place. ) Question Help: M Message instructor