5 Data about employment for males and females in a small rural area are shown in the table.
| \cline { 2 - 3 }
\multicolumn{1}{c|}{} | Unemployed | Employed |
| Male | 206 | 412 |
| Female | 358 | 305 |
A person from this area is chosen at random. Let \(M\) be the event that the person is male and let \(E\) be the event that the person is employed.
- Find \(\mathrm { P } ( M )\).
- Find \(\mathrm { P } ( M\) and \(E )\).
- Are \(M\) and \(E\) independent events? Justify your answer.
- Given that the person chosen is unemployed, find the probability that the person is female.