Worksheet 9F Math 141 Exercise: A multinational company has five divisions: A, B

Question

Worksheet 9F Math 141 Exercise: A multinational company has five divisions: A, B, C, D, and E. The percentage of employees from each division who speak at least two languages fluently is given in the table below 3. Division | No. of employees | % bilingual 20,000 15,000 25,000 30,000 10,000 100,000 20 15 12 10 10 Total (a) Find the probability that an employee selected at random is bilingual. (b) Find the probability that a bilingual employee selected at random works for division C. 1 | B If Ei, E2, . . . En) are mutually exclusive events and EUE2U-.-U En- ayes' Theorem: S, then for any event F in S, Pr(EIF) =

Explanation / Answer

Division                                 No of bilingual employees

A                                                 4000

B                                                  2250

C                                                  3000

D                                                   3000

E                                                   1000

Total                                               13250

a) P(bilingual) = 13250/100000 = 0.1325

b) P( works for division C | bilingual) = P(bilingual and works for division c)/P(bilingual)

                                                         = (3000/1000000)/0.1325 = 0.02264

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