Creating cumulative distribution function of Random variable.
Electrons hit a circular plate with unit radius. Let X be the random variable representing
the distance of a particle strike from the centre of the plate. Assuming that a particle is
equally likely to strike anywhere on the plate,
(a) for 0 < r < 1 find P(X < r), and hence write down the full the cumulative distribution
function of X, FX;
(b) find P(r < X < s), where r < s;
(c) find the probability density function for X, fX.
(d) calculate the mean distance of a particle strike from the origin.
I have problem in crating CDF and finding mean distance.
please help me.