(i) For events A and B to be independent, \(P(A) \times P(B)\) should equal \(P(A \text{ and } B)\). Calculate \(P(A) \times P(B) = 0.3 \times 0.8 = 0.24\). Since \(0.24 \neq 0.4\), events A and B are not independent.

(ii) For events A and B to be mutually exclusive, \(P(A \text{ and } B)\) should be 0. Since \(P(A \text{ and } B) = 0.4 \neq 0\), events A and B are not mutually exclusive.