Each part of this question first defines a non-empty finite set ? and then attempts to define a probability mass function p on ? and a function X : 0 - R. For each part, perform the following tasks. (a) Determine whether p is a well-defined probability mass function. (b) Determine whether X is a well-defined function. (c) If both p and X are well-defined, compute the expectation of X as a a random variable. [5 marks] 0 = {x EZ: -x2 + 4x + 5 2 0}. p(w) = w/14 and X(w) = w2 for every WEN