Research studies suggest that the likelihood a university student chooses to study Engi- neering may depend on the person's gender. The proportions of the total number of cases that fall into four major/gender categories are shown in the table below: Education Male (M) Female (F) Engineering Major (E) 0.20 0.20 Non-engineering 0.25 0.35 a. (2pts) Find P(E) b. (3 pts) P(EUM) c. (3 pts) P(E | Mc)