III.10. How much education? The Census Bureau gives this distribution of education for a randomly chosen American over 25 years old in 2014:
| Less than | High | College, | |
| high | school | no | |
| Education: | school | graduate | bachelor’s |
| Probability: | 0.117 | 0.297 | 0.167 |
| Associate’s | Bachelor’s | Advanced | |
| Education: | degree | degree | degree |
| Probability: | 0.099 | 0.202 | 0.118 |
(a) How do you know that this is a legitimate probability model?
(b) What is the probability that a randomly chosen person over age 25 has at least a high school education?
(c) What is the probability that a randomly chosen person over age 25 has at least a bachelor’s degree?