Describe the random variable X the number of face cards in

Describe the random variable X = \"the number of face cards in a hand of 5 cards randomly selected without replacement from a normal deck of cards\" [Hint: S has six outcomes, corresponding to the sets of patterns of face and non-face cards, and you\'ll have to count the number of hands for each pattern set.]

You must describe the random variable X by

(a) listing the sample space S which is the domain of the random variable X, along with its probability measure P;

(b) listing the values in Range(X);

(c) giving the probability mass function p by listing the values p(x) for each x in Range(X); and

(d) providing an illustration of the distribution (the PMF).

Solution