5.56 Teaching Credentials 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 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 hypergeo- metric 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 1).