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- Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible hours----even when it meant slower career advancement----so they could spend more time with their families. The figure shows the results of the survey. What is the probability that three people chosen at random would prefer flexible work hours?A manufacturer has determined that a machine averages one faulty unit for every 500 it produces. What is the probability that an order of 300 units will have one or more faulty units?