Respuesta :
Answer:
62.5% of employees hold management positions
Step-by-step explanation:
We have these following percentages:
20% of the employees have only a high school diploma;
70% have bachelor degrees;
10% have graduate degrees;
Of those with only a high school diploma, 10% hold management positions;
Of those having bachelor degrees, 60% hold management positions;
85% of the employees who have graduate degrees hold management positions
What percentage of employees hold management positions?
That is
[tex]P = P_{1} + P_{2} + P_{3}[/tex].
In which [tex]P_{1}[/tex] is the percentage of those who only have a high school diploma and hold a management position. So [tex]P_{1} = 0.2*0.1 = 0.02[/tex]
[tex]P_{2}[/tex] are those who have a bachelor degree and hold a management position. So [tex]P_{2} = 0.7*0.6 = 0.52[/tex].
[tex]P_{3}[/tex] are those who have a graduate degree and hold a management position. So [tex]P_{3} = 0.1*0.85 = 0.085[/tex]
Finally
[tex]P = P_{1} + P_{2} + P_{3} = 0.02 + 0.52 + 0.085 = 0.625[/tex].
62.5% of employees hold management positions
