At a large factory, the employees were surveyed and classified according to their level of education and whether they smoked. Th
e data are shown in the table. Educational Level
Smoking Not high High school College
Habit School graduate graduate graduate
Smoke 6 14 19
Do not smoke 18 7 25
If an employee is selected at random, find these probabilities:
a. The employee smokes, given that he or she graduated from college.
b. Given that the employee did not graduate from high school, he or she is a smoker.
c. The employee graduated from college, given that he or she smokes.