can someone please solve this equation (see screenshot)? I need step by step help.

The prior probabilities for events A1 and A2 are P(A1 ) = 0.50 and P(A2 ) = 0.50. It is also known that P(A1 n A2 ) = 0. Suppose P(B | A1 ) = 0.20 and P(B | A2 ) = 0.05. If needed, round your answers to three decimal digits. (a) Are A1 and A2 mutually exclusive? - Select your answer - Explain your answer. (i) P(A2 ) # P(A2 | A1 ) (ii) P(A1 ) + P(A1 ) = 1 (iii) P(A1 ) # P(A1 | A2 ) (iv) P(A1 n A2 ) = 0 Option (iv) (b) Compute P(A1 n B) and P(Az n B). P(A1 n B) = P(A2 n B) = (c) Compute P(B). P(B) = (d) Apply Bayes' theorem to compute P(A1 | B) and P(A2 | B). P(A1 | B) = P(A2 | B) =