8. During a 52-week period, a company paid overtime wages for 18 weeks and hired
ID: 2922671 • Letter: 8
Question
8. During a 52-week period, a company paid overtime wages for 18 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? 52 52 O Yes (b) If an auditor randomly examined the payroll ecords for only one week, what is the probability thai the payroll week contained overtime wages or temporary help wages? P(overtime wages or temporary help wages)- (Round to the nearest thousandth as needed.) 2Explanation / Answer
Answer:
a).
A and B not mutually exclusive because P( A and B) =6/52 0
b).
P( A or B) =P(A)+P(B)-P( A and B)
= 18/52+11/52-6/52
=0.442307692
=0.442