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Part 3(b) [5 points] Let A and B be the discrete random variables, each of which represents a word sampled from the languages La and Lp, respectively. Moreover, A can take on the values {ai,a2,a3} and B can take on the values {b1, b2, b3, b4} where all the values in the two sets are distinct from one another (i.e., a; 4 6; Vi,;). Consider a function f(A) that maps the sampled words of L.4 to the sampled words of Lg as the following: F(a) = bi, Ff (a2) = ba, Ff (a3) = bs, and nothing maps to b4 How are the supports of f(A) and B distributions related to each other, and why