Problem 2. - The population of a particular country consists of three ethnic groups. Each individual belongs to one of the four major blood groups. The following joint probability table gives the proportions of individuals in the various ethnic group-blood group combinations: Blood Group 0 A B AB 1 0.136 0.141 0.018 0.002 Ethnic Group 2 0.082 0.105 0.012 0.004 3 0.215 0.205 0.050 0.020 Suppose that an individual is random 3' selected from the population. and dene events by A 2 {blood group A is selected}. B 2 {blood group B is selected}. and C = {ethnic group 3 is selected}. a] \"Calculate P(A] and P(A D C]. b) #) Calculate both P(A | C) and P(C | A). c) \"If the selected individual does not have blood group A. what is the probability that he or she is from ethnic group 1