In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of ten candidates for four local teaching positions consisted of six who had enrolled in paid internships and four who enrolled in traditional student teaching programs. All ten candidates appear to be equally qualified, so four are randomly selected to fill the open positions. Let Y be the number of internship trained candidates who are hired. Required:
a. Does Y have a binomial or hypergeometric distribution? Why?
b. Find the probability that two or more internship trained candidates are hired.
c. What are the mean and standard deviation of Y ?