(i) To find \(P(M)\), calculate the total number of males: \(206 + 412 = 618\). The total number of people is \(206 + 412 + 358 + 305 = 1281\). Thus, \(P(M) = \frac{618}{1281} \approx 0.482\).

(ii) To find \(P(M \text{ and } E)\), use the number of employed males: \(412\). Therefore, \(P(M \text{ and } E) = \frac{412}{1281} \approx 0.322\).

(iii) To check if \(M\) and \(E\) are independent, calculate \(P(E)\): \(P(E) = \frac{717}{1281}\) (since \(412 + 305 = 717\)). Check if \(P(M) \times P(E) = P(M \text{ and } E)\). \(\frac{618}{1281} \times \frac{717}{1281} \neq \frac{412}{1281}\), so they are not independent.

(iv) Given the person is unemployed, find the probability they are female. Total unemployed is \(206 + 358 = 564\). Thus, \(P(\text{Female} | \text{Unemployed}) = \frac{358}{564} \approx 0.635\).