8. For the events \(A\) and \(B\),
$$\mathrm { P } \left( A ^ { \prime } \cap B \right) = 0.22 \text { and } \mathrm { P } \left( A ^ { \prime } \cap B ^ { \prime } \right) = 0.18$$
- Find \(\mathrm { P } ( A )\).
- Find \(\mathrm { P } ( A \cup B )\).
Given that \(\mathrm { P } ( A \mid B ) = 0.6\)
- find \(\mathrm { P } ( A \cap B )\).
- Determine whether or not \(A\) and \(B\) are independent.