For the following probabilities Income Age High Medium Low

< 30 .030 .180 .090 30–50 .052 .312 .156

> 50 .018 .108 .054 determine

(a) the probability someone is under 30,

(b) the probability that someone has a high income given that they are under 30,

(c) the probability of someone having a low income given that they are under 30, and

(d) the probability of a medium income given that they are over 50.