In: Statistics and Probability
. At a large factory, the employees were surveyed and classified according to their level of education and whether they smoked. The data are shown in the table below:
smoking habit | not high school graduates | high school graduate | college graduate | Graduate Level |
smoke | 17 | 20 | 18 | 10 |
Do not smoke | 15 | 32 | 27 | 19 |
If an employee is selected at random, find these probabilities.
a. The employee smokes, given that he or she graduated from high school.
b. Given that the employee did not graduate from high school, he or she is not a smoker.
c. The employee does not smoke and has a graduate level degree (MS or PhD) or is a college graduate.