3. Let $X_1, X_2, X_3$ be a random sample (of size 3) from the continuous distribution with pdf
$$f(x) = \frac{3}{2}\sqrt{x}, 0 \le x \le 1.$$
Obtain the expected value of the sample median (i.e., the expected value of the second order statistic).
4. Find the expectation of the sample range for a random sample of size $n$ from U(0,1). What does this expectation tend to as $n \to \infty$?