A regional insurance company insures homeowners against flood damage. Half of their policyholders are in Florida, 30% in Louisiana, and 20% in Texas. Company actuaries give the estimates in Table 1.1 for the probability that a policyholder will file a claim for flood damage over the next year. (a) Find the probability that a random policyholder will file a claim for flood damage next year. (b) A claim was filed. Find the probability that the policyholder is from Texas. TABLE 1.1 Probability of Claim for Flood Damage Florida Louisiana Texas 0.03 0.015 0.02