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Employees of Harvin & Co. are divided among the three divisons: Management and Administration, Machine Operations,...

Employees of Harvin & Co. are divided among the three divisons: Management and Administration, Machine Operations, and Maintenance. The following table shows the number of employees in each division, classified by gender.

                                                    Female           Male           Total

Mgmt & Administration           20                   11                   31

Machine Operators                    75                 125                 200

Maintenance                                  4                   16                    20

Total                                            99                 152                  251

Let A = a randomly chosen employee is a female,

      B = a randomly chosen employee is a male,

      C = a randomly chosen employee works in Management & Administration,

      D = a randomly chosen employee is a machine operator.

What is the approximate probability that a randomly chosen employee is a machine operator given that this person is a female?   

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Employees of Harvin & Co. are divided among the three divisons: Management and Administration, Machine Operations, and Maintenance. The following table shows the number of employees in each division, classified by gender.

                                                    Female           Male           Total

Mgmt & Administration           20                   11                   31

Machine Operators                    75                 125                 200

Maintenance                                  4                   16                    20

Total                                            99                 152                  251

Let A = a randomly chosen employee is a female,

P(A) = 99/251=0.3944

      B = a randomly chosen employee is a male,

P(B) =152/251 = 0.6056

      C = a randomly chosen employee works in Management & Administration,

P( C)= 31/251 = 0.1235

      D = a randomly chosen employee is a machine operator.

P( D)= 200/251 = 0.7968

What is the approximate probability that a randomly chosen employee is a machine operator given that this person is a female?   

P=75/99 = 0.7576

milcah answered 1 hour ago
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