Problem #1 (20 points) – An Discrete Distribution
A total of m balls are to be randomly selected, without replacement, from
an urn that contains n ≥ m balls numbered 1 through n. If X is the smallest
numbered ball selected, determine (in terms of n and m) the range set of X,
the probability mass function (pmf) of X (in terms of n, m and x) and the
cumulative distribution function (cdf) of X (in terms of n, m and x). You
may look up any binomial coefficient identity needed to simply the cdf, or
you may use Maple to simply the sum.