All employees of a certain company have medical coverage, 30% have deluxe coverage, 60% have standard coverage and 10% have economy coverage. From recorded data, the probability that an employee with deluxe coverage will submit no claims during the year is 0.1, with the corresponding figures for standard and economy being 0.4 and 0.7 respectively. (a) What is the probability that a randomly selected employee of the com- pany will submit no claims during the year? (b) If the selected company submits no claims during the year, what is the probability that the employee has deluxe coverage? Standard coverage? Economy coverage?

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