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The US Bureau of Labor Statistics publishes data on the benefits offered by small companies to their employees. Supposed 42% offer retirement plans, and 61%

The US Bureau of Labor Statistics publishes data on the benefits offered by small companies to their employees. Supposed 42% offer retirement plans, and 61% offer life insurance. Further, suppose that if they offer life insurance, the probability they also offer retirement plans is 0.54.

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(a) Find the probability they do offer life insurance and do not offer a retirement plan.

(b) If they do not offer life insurance, what is the probability they offer a retirement plan?

(c) Find the probability they offer exactly one of the benefits (not both).

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