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a company has a workforce of 3,000 1,200 work in the financedepartment and 1,400

ID: 2954872 • Letter: A

Question

a company has a workforce of 3,000 1,200 work in the financedepartment and 1,400 are men of the 1,200 that work in the financedepartment 600 are men   A) are the events selecting amale employee and selecting an employee who works in the financedepartment mutually exclusive why or whynot      and B) lets assume that thecompany conducts a poll to see how many employees are happy withtheir jobs employees are randomly selected find the probabilitythat the selected employee is a man or an employee working in thefinance department

Explanation / Answer

(A) Since 600 men are working in the finance department, the eventsare not exclusive. (B) Given P(finance)=1200/3000 = 0.4 P(men)=1400/3000= 0.47 P(men and finance)=600/1200 = 0.5 The probability is P(men or finance)= P(men) + P(finance) - P(men and finance) =0.47+0.4-0.5 =0.37

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