Question4. A recent survey asked 100 people if they thought women in the armed forces should be permitted to participate in combat. The results of the survey are shown below. \begin{tabular}{|l|c|l|l|} \hline Gender & Yes & No & Total \\ \hline Male & 32 & 18 & 50 \\ \hline Female & 8 & 42 & 50 \\ \hline Total & 40 & 60 & 100 \\ \hline \end{tabular}
Find the probability that: a) The respondent answered yes, given that the respondent was a female. b) The respondent was a male, given the respondent answered no. c) The respondent was female, given that the respondent answered yes. d) The respondent answered no, given that they were female.
5. If $25 \%$ of U.S. federal prisons inmates are not U.S. citizens, find the probability that 2 randomly selected inmates will not be U.S. citizens.