For each of the following functions, (i) find
the constant c so that f(x) is a pdf of
a random variable X, (ii) find the cdf,
F(x) = P(X ≤ x),
(iii) sketch graphs of the pdf f
(x) and the distribution function F (x),
and (iv) find μ and σ^2:

(a) f(x) = x3/4, 0
< x < c.
(b) f(x) = (3/16)x2,
−c < x < c.

(c) f(x) =
c/√x, 0 < x < 1. Is this pdf
bounded?