In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of thirteen candidates for six local teaching positions consisted of seven who had enrolled in paid internships and six who enrolled in traditional student teaching programs. All thirteen candidates appear to be equally qualified, so six are randomly selected to fill the open positions. Let Y be the number of internship trained candidates who are hired. a. What is the distribution of Y? State the parameters of the distribution (if any). b. Find the probability that five or more internship trained candidates are hired. (Round your answer to four decimal places.) c. What is the mean and standard deviation of Y? (Round your answers to four decimal places.)