A survey was conducted in a community. Sixty percent of respondents were female. Thirty percent of the female respondents indicated that they had utilized the community library within the previous seven days. 22% of the male respondents indicated using the community library during the same period.
1. If a person is chosen at random from all the respondents, what is the probability that is a male who did not use the library within the previous seven days?
2. If a person is chosen at random from all the respondents, what it the probability that they did use the library within the previous seven days?
3. If a person is chosen at random and its learned that they had used the library within the last seven days, what is the probability that it was a female?