Can anyone help me on the following Pls?
The random variable X has p.d.f given by
f(x) = x/2 0£ x £ 2
0 otherwise
(a) Find the c.d.f of X, FX(x).
The random variable Y = X2 and takes values over the range
0 £ y £ 4.
(b) Show that P(Y < y) = P(X £ Öy).
(c) Hence show that the c.d.f of Y, FY(y) is given by
FY(y) = 0, y < 0
y/4, 0 £ y £ 4
1, y > 4