a) (15 points) Create a crosstabulation or joint probability table for this data.
b) (15 points) What is the probability that a student selected at random from this class has a name starting in A? Show your work.
c) (20 points) Suppose that you know that a student's name does not start with A. What is the probability that that student is a man? Show your work.
Bonus (5 points) If two events are mutually exclusive, can they also be independent? Give an example or explain why not.