For the following probabilities Income Age High Medium Low

< 30 0.030 0.180 0.090 30-50 0.052 0.312 0.156

> 50 0.018 0.108 0.054 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.