For two data points x1, 22 that can each take on a value in 1, 2, ..., 30, let's define a function f2(k) to represent the number of arrangements in which x1 + x2 takes value k. We've shown that for k outside of the range [2, 60], we have f2(k) = 0. We've also established that f2(2) = 1 and f2(60) = 1. a) Find f2(30). In other words, how many arrangements are there if we want x1 + 12 to take value 30? b) 860 For an arbitrary integer 2