In Southern Ontario, a growing number of persons pursuing a teaching credential are choosing paid internships over traditional student teaching programs. A group of eight candidates for three local teaching positions consisted of five candidates who had enrolled in paid internships 2 and three candidates who had enrolled in traditional student teaching programs. Let us assume that all eight candidates are equally qualified for the positions. Let X represent the number of internship-trained candidates who are hired for these three positions. a. Does X have a binomial distribution or a hypergeometric distribution? Support your answer. b. Find the probability that three internship-trained candidates are hired for these positions. c. What is the probability that none of the three hired was internship-trained? d. Find P(X