Identify distribution. The data files m3_5x.dat, m3_5y.dat and m3_5z.dat in the companion software PARSE contain three records of data, which are the realizations of three RVs X, Y , and Z, respectively.

(a) Use the companion software PARSE to plot three histograms of the three data sets, respectively, and compute the sample means and sample variances of the three data sets, respectively.

(b) Give your guess what the distributions of X, Y and Z are, respectively. Justify.