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During a 52-week period, a company paid overtime wages for 17 weeks and hired te

ID: 3216597 • Letter: D

Question

During a 52-week period, a company paid overtime wages for

17

weeks and hired temporary help for

8

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) = nothing

(Round to the nearest thousandth as needed.)

Click to select your answer(s).

Explanation / Answer

"Mutually exclusive" is a statistical term describing two or more events that cannot occur simultaneously. Hence No , as the company can select both temporary and overtime at the same time

b) we know that P a or b = Pa +Pb - P a and b

17+8-5 = 20 , hence the probability is 20/52

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