A survey has shown that 51% of the workers in a certain community have an employer-provided health plan. Of these workers, 62% participate in a workplace retirement plan, while 31% of workers without an employer-provided health plan participate in a workplace retirement plan. Find the probability that a worker in the community does the following: (a) Participates in a workplace retirement plan. (b) Does not participate in a workplace retirement plan but does have an employer-provided health plan. (c) Are the events that a worker has an employer-provided health plan and participates in a workplace retirement plan independent? Explain.