An insurance company issues life insurance policies in three separate categories: standard, prefferred, and ultra-preferred. of the company’s policyholders, 50% are standard, 40% are preffered, and 10% are ultra-prefferd. each standard policyholder has probability 0.010 of dying in the next year, each preferred policyholder has probability 0.005 of dying in the next year, and each ultra-preferred policyholder has probability 0.001 of dying in the next year. now, suppose a policyholder dies in the next year. what is the probability that the deceased policyholder was ultra-preferred