Q3: Briefly define the term Bayes Rule. Also solve the following problem by using Bayes rule. (3 marks) You might be interested in finding out a patient's probability of having liver disease if they are an alcoholic. Being an alcoholic is the test for liver disease. A could mean the event Patient has liver disease." Past data tells you that 10% of patients entering your clinic have liver disease. P(A) = 0.10. B could mean Patient is an alcoholic." Five percent of the clinic's patients are alcoholics. P(B) = 0.05. B|A: the probability that a patient is alcoholic, given that they have liver disease, is 7%. Identify AB by using Bayes Theorem with the help of above facts