During a 52 week period, a company paid overtime wages for 19 weeks and hired te

Question

During a 52 week period, a company paid overtime wages for 19 weeks and hired temporary help for 11 weeks. During 6 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.)

Explanation / Answer

P(overtime wages) = 19/52

P(temporaty help wages) = 11/52

P(overtime wages and temporaty help wages) = 6/52

a) Since , P(overtime wages and temporaty help wages) is not equal to 0, so the events are not mutually exclusive.

Option-A) No

b) P(overtime wages or temporaty help wages) = P(overtime wages ) + P(temporaty help wages) - P(overtime wages and temporaty help wages)

= 19/52 + 11/52 - 6/52

= 0.462

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