Benefits Fifty-six percent of all American workers have a workplace retirement plan, 68% have health insur-ance, and 49% have both benefits. We select a worker at random. a) What’s the probability he has neither employer-sponsored health insurance nor a retirement plan? b) What’s the probability he has health insurance if hehas a retirement plan?c) Are having health insurance and a retirement planindependent events? Explain.d) Are having these two benefits mutually exclusive?Explain.

Question
Benefits Fifty-six percent of all American workers have
a workplace retirement plan, 68% have health insur-
ance, and 49% have both benefits. We select a worker at
random.
a) What’s the probability he has neither employer-
sponsored health insurance nor a retirement plan?
b) What’s the probability he has health insurance if he
has a retirement plan?
c) Are having health insurance and a retirement plan
independent events? Explain.
d) Are having these two benefits mutually exclusive?
Explain.

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