You are looking to evaluate the type of people that are using a local train service. You survey train riders during two different peak times, morning rush hour and evening rush hour. You ask each rider if they are commuting to/from work or not (anything that is not work commute travel). You surveyed a total of 500 riders. Morning Evening Total Work Commute 168 178 Not Work Commute 48 Total 216 500 Suppose a random participant is selected at random from the 500 riders that you surveyed. Use the following notation for events: C = Commuter, NC = Not Commuter, M = Morning, E = Evening. (a) Fill in the missing cells. (b) Find the probabilities for each simple event. ( i.e find P(C), P(NC), P(M), and P(E) ) (c) What is the probability that a student was a " commuter" AND was on the train in the "morning