during an 52 week period, a company paid overtime for 16 weeks and hired temp he

Question

during an 52 week period, a company paid overtime for 16 weeks and hired temp help for 9 weeks. during 6 weeks they paid overtime and temp help.

a. are the events :selecting a week that contained overtime wages" and "selecting a week that contained temp help wages" mutually exclusive?

b. if an auditor randomly examined payroll for only one week, what's the probably that the payroll for that week contained overtime or temporary help wages.

Explanation / Answer

Solution:-   

a) NO

b)  The probability is 0.3653. This can be found by adding the two probabilities, and subtracting their intersection: p(OT or TH) = p(OT) + p(TH) - p(OT & TH) = 16/52 + 9/52 - 6/52.

=   0.3653

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