A professor surveyed students in her morning and afternoon Math 105 class, and asked what their class standing was. The class standings are summarized below:
| Freshman | Sophomore | Junior | Senor | Total | |
|---|---|---|---|---|---|
| Morning Class | 12 | 5 | 7 | 8 | 32 |
| Afternoon Class | 5 | 13 | 8 | 2 | 28 |
| Total | 17 | 18 | 15 | 10 | 60 |
If one student was chosen at random:
What is the probability they were in the morning class?
What is the probability they were a Freshman?
What is the probability that they were a Senior and they were in the afternoon class?
What is the probability that they were a Sophomore given they were in the morning class?
What is the probability that they were in the morning class or they were a Junior?
Lee et al., Math in Society, §4.1 Contingency Tables, Exercise 8