Please solve below problem:

Suppose there are four events A, B, C, and D so that: . P(A) = 0.3, P(B) = 0.7, P(C) = 0.4, P(D) = 0.15. . Events A and B are independent. . Events C and D are mutually exclusive. Wuttyler.instructure.com/courses/22240/quizzes/141043/take 2020 Quiz: Test 1 . Also, P(An C) = 0.1 1. What is P(An B)? 2. What is P(A U B)? 3. What is P(Cn D)? 4. What is P(CUD)? 5. Compute P(C | D). 6. Compute P(A | C). 7. Compute P(An C'). 8. Compute P( A' U C')