In the Survey of Travelers Described in Problem 2, Passengers

In the survey of travelers described in problem 2, passengers were also classified by
age: $$\begin{array} { | c | c | c | c | } \hline & \text { Bothered } & \text { Not bothered } & \text { Totals } \\\hline \text { Females under 40 } & 14 & 10 & 24 \\\hline \text { Males under 40 } & 23 & 2 & 25 \\\hline \text { Females over 40 } & 5 & 16 & 21 \\\hline \text { Males over 40 } & 15 & 16 & 31 \\\hline \text { Totals } & 57 & 44 & 101 \\\hline\end{array}$$ Suppose one of these passengers is to be randomly selected. Calculate the probability
that:
a) The selected passenger is under 40, given that the passenger is female.
b) The selected passenger is bothered, given that the passenger is over 40.
c) The selected passenger is male and over 40.