III.11. Language study. Choose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. Here is the distribution of results:
| Language: | Spanish | French | German |
| Probability: | 0.300 | 0.080 | 0.021 |
| Language: | Latin | All others | None |
| Probability: | 0.013 | 0.022 | 0.564 |
(a) Explain why this is a legitimate probability model. (Hint: See page 429.)
(b) What is the probability that a randomly chosen student is studying a language other than English? (Hint: See page 429.)
(c) What is the probability that a randomly chosen student is studying French, German, or Spanish? (Hint: See page 429.)