Pleae show the procedure

(i) The events A and B are such that P(A) = 1/2 P(ANB) == P(AUB) = Find the following: (a) (b) (c) P(B) P( A BC) P(AC|B) I (ii) The medical test for a certain infection is not completely reliable: if an individual has the infection there is a probability of 0.95 that the test will prove positive, and if the individual does not have the infection there is a probability of 0.1 that the test will prove positive. In a certain population, the probability that an individual chosen at random will have the infection is An individual is chosen at random and is tested. What is the probability of the test being positive? [3]