A lab technician was asked to mark some specimens with two letters, one from the set {A, B, C} and the other from the set {E, F, G}. For example, a specimen could be labeled as AE or BG, etc. He had a total of 220 specimens. He has to file a report to his boss, consisting of the following table. Unfortunately, he does not remember all the figures. He had left some notes to himself, which are reported below. Help him fill the following table with the help of his notes and Bayes' rule. Here are the technician's notes: a. b. 0. Of all the ones that he marked with an E, one fth were also marked with an A and one fifth were marked with a B. He marked 36 specimens with the label CE. Of all the specimens that he marked with a C, 12/23 were marked with a G. Of all the specimens, 23l55 were marked with a C. The number of specimens marked BG was twice the number of specimens marked BE. Of all specimens marked with an A 3/20 were marked with an E. Ofall the specimens marked with an A, one tenth were marked with a G