* x A-Z cks cess The prior probabilities for events A1 and A2 are P(A)=0.30 and P(A) 0.70. It is also known that P(A nAs) 0. Suppose P(BA) 0.20 and P(BA) 0.30, a. Are events As and As mutually exclusive? Yes Explain (1) P(A) A) 0 (1)(A) + P(A2)=1 (i) P(A) P(Az 1A1) (iv) P(A2) A 1) choice (1) b. Compute P(A, B) (to 2 decimals). .06 Compute P(A) (to 2 decimals). 21 e. Compute P(B) (to 2 decimals). .27 d. Apply Bayes' theorem to compute P(A|B) (to 4 decimals). 2222 Also apply Bayes' theorem to compute P(A|B) (to 4 decimals). 37773