During a 52week period a company paid overtime wages for 19

During a 52-week period, a company paid overtime wages for 19 weeks and hired temporary help for 7 weeks. During 5 weeks, the company paid overtime and hired temporary help. Complete parts (a) and (b) below. (a) Are the events selecting a week that contained overtime wages and selecting a week that contained temporary help wages mutually exclusive? No Yes (b) If an auditor randomly examined the payroll records for only one week, what is the probability that the payroll for that week contained overtime wages or temporary help wages? P(overtime wages or temporary help wages) - (Round to the nearest thousandth as needed.)

Solution

a) No

Because , for 5 weeks , company paid overtime and hired temporary help.

b) Answer = 11/26

We need to add the two probabilities and subtracting their intersection:

Let OT -> Overtime ; TH-> Temporary Help

P( OT U TH ) = P(OT) + P(TH) - P(OT AND TH)

= 18/52 + 9/52 - 5/52

= 11/26