Question

Records of a company show that 20% of the employees have only a high school diploma: 70% have bachelor degrees; and 10% have graduate degrees. Of those with only a high school diploma, 10% hold management positions, whereas, of those having bachelor degrees, 40% hold management positions. Finally, 80% of the employees who have graduate degrees hold management positions. Create a tree diagram representing the above situation. (2 points) What percentage of employees hold management positions? (2 points) Given that a person holds a management position, what is the probability that she/he has a graduate degree? (2 points) a. b. C.

Answer 1

O- hle have to calculote the pescentadu emplo re ig manayenadf pe tion foa the convenieat let the total ruwn-ber o be 100 So tme gner latn in weston umber emploees nm (wigh Stheel duploma)28 (eachelux degree) t8Gradunte degee) 38 emplayees So, the pene entage - 38-x100-38 lo o hald man a aern et Thus , 38 % &t enflames O. e tare to fid he puohaLity poco.habiity a em ее ven that a managomant pesiion