For each of the following functions, (1) find the constant, (2) find the c.d.f. F(x), (3) sketch graphs of f(x) and F(x) and (4) find mu and sigma squared.

1. f(x) = x^2/3, 0 < x < c

2. f(x) = (3/16) x^4; -c < x < c

3. f(x) = 1/(cx)^(1/2), 0 < x < 1 (unbounded!)