Random Variables
Consider an urn with N balls numbered 1,... N. Suppose that you draw n balls without replacement from this urn. Denote by X the smallest number that you have drawn.
(a) Find the probability mass function (pmf) and cumulative distribution function (cdf) of X.
(b) Draw pmf and cdf of X for N = 6 and n = 4.
(c) What are the three properties that the cdf of any random variable must satisfy?