Suppose that a person’s birthday is a uniformly random choice from the 365 days of a year (leap years are ignored), and one person’s birthday is independent of the birthdays of other people. alex, betty and conlin are comparing birthdays. define these three events: a = {alex and betty have the same birthday} b = {betty and conlin have the same birthday} c = {conlin and alex have the same birthday}. (a) are events a, b and c pairwise independent? (see the definition of pairwise independence on page 58 and example 2.25 for illustration.) (b) are events a, b and c independent?