1. (10 pts.) 351 adults were asked the question "Which one of the following three types of
music do you prefer the most: classical, jazz, or pop?" The results, broken down by age
and music preference, are given in the following table:
| | Classical | Jazz | Pop |
|-----------------------|-----------|------|-----|
| Under 35 years old | 11 | 50 | 61 |
| Between 35 and 55 years old | 37 | 59 | 45 |
| Over 55 years old | 57 | 29 | 2 |
a. If you randomly select one of the people surveyed, what is the probability that the person is
over 55 years old and prefers classical music?
b. If you randomly select one of the people surveyed, what is the probability that the person
either is between 35 and 55 years old or prefers pop music?
c. If you randomly select one of the people surveyed, what is the probability that the person
prefers jazz given that he or she is under 35 years old?