Modify the demonstration perfect for generating from the t3 distribution (Algorithm C5 again) and generate a sample of n = 400. (a) Estimate the density using any of the methods in Section 12.2. (b)...

Modify the demonstration perfect for generating from the t3 distribution (Algorithm C5 again) and generate a sample of n = 400.

(a) Estimate the density using any of the methods in Section 12.2.

(b) Test for goodness of fit using chi-square, Kolmogorov–Smirnov, or Anderson– Darling.

(c) Estimate the upper .05 and .01 percentile points as in Exercise 12.7.