# Question: Following are age and sex data for 20 midlevel managers

Following are age and sex data for 20 midlevel managers at a service company: 34 F, 49 M, 27 M, 63 F, 33 F, 29 F, 45 M, 46 M, 30 F, 39 M, 42 M, 30 F, 48 M, 35 F, 32 F, 37 F, 48 F, 50 M, 48 F, 61 F. A manager must be chosen at random to serve on a companywide committee that deals with personnel problems. What is the probability that the chosen manager will be either a woman or over 50 years old or both? Solve both directly from the data and by using the law of unions. What is the probability that the chosen manager will be under 30?

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