Recall from quiz I the random experiment where only two candidates, A and B, get votes in an election where four people voted. Recall the sample space was as follows: S = (AAAA.BBBB, ABBB, BABB, BBAB, BBBA, BAAA, ABAA, AABA, AAAB, AABB, BBAA, ABAB, BABA, ABBA, BAABY. Answer the following questions regarding this random experiment. (a) Let X = number of votes that candidate A gets. For each outcome in the sample space, write what the value of X is. (5 points) Assuming equally likely outcomes, write out the probability mass function (pmf) p(x), of X. (5 points) What is the cumulative distribution function (cdf), F(x), of X. Remember that F(x) is defined for all real numbers. (5 points)