2. [15 points] Given two distributions, fl] 2 NW, 1}, f1 = .Nf{1.51 1-1] (meaning that we are interested in detecting a mean shift of minimum size 1.5}, derive what should be the CUSUM statistic (i.e., write down the CUSM detection statistic]. Plot the CUSUM statistic for a sequence of randomly generated samples, 2:1, . . . ,3100 are are i.i.d. (independent and identically distributed] according to fa and $101,. . . , 332.33 that are i.i.d. acoordign to f1