Following the randomization scheme for Korobov sequences described in Section 10.7, find an error estimate using ten replicates for the problem in Example 10.3 as in chex103. Find the variance of the...

Following the randomization scheme for Korobov sequences described in Section 10.7, find an error estimate using ten replicates for the problem in Example 10.3 as in chex103.

Find the variance of the median of five random variables from the logistic distribution directly by following Exercise 10.2 or 10.10 and integrating

                       # ∞ −∞ x2 30F(x)2 (1 − F(x))2 f(x) dx.