Question 3. 10 (a)- Calculate P (An B) in the following scenarios: i. (1 pts) P(A) = 0.65, P(B) = 0.2; A and B are independent ii. (1.5 pts) P(A) = 0.4, P(B) = 0.7, P (B | A) = 0.6 (b)- Calculate P (AU B) in the following scenarios: i. (1 pts) P(A) = 0.45, P(B) = 0.2; A and B are mutually exclusive ii. (1.5 pts) P(A) = 0.3, P(B) = 0.25, P(AnB) = 0.1 (c)- Determine if the events A and B are mutually exclusive, independent, or neither. Justify? i. (1.5 pts) P(A) = 0.65, P(B) = 0.25, P(AnB) =0.1 ii. (2 pts) P(A) = 0.8, P(B) = 0.35, P(AUB) = 0.87 3 iii. (1.5 pts) P(A) = 0.275, P(AUB) = 0.445, P(AnB) = 0