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.

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7. Aaron purchased 19 video games. The defect rate for these types of video games is 1.8%. What is the probability that at least three of the video games he purchased are defective?

Religion Census reports for a city indicate that 62%of residents classify themselves as Christian, 12%as Jewish, and 16% as members of other religions(Muslims, Buddhists, etc.). The remaining residents classify themselves as nonreligious. A polling organiza-tion seeking information about public opinions wants to be sure to talk with people holding a variety of religiousviews, and makes random phone calls. Among the firstfour people they call, what is the probability they reacha) all Christians?b) no Jews?c) at least one person who is nonreligious?