ASK YOUR TEACHER PRACTICE ANOTHER In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of twelve candidates for five local teaching positions consisted of seven who had enrolled in paid internships and five who enrolled in traditional student teaching programs. All twelve candidates appear to be equally qualied, so five are randomly selected to fill the open positions. Let Ybe the number of internship trained candidates who are hired. 12. [17.69 Points] WACKERLYSTAT7 3.7.105. (a) Does Yhave a binomial or hypergeometric distribution? Why? 0 A hypergeometric distribution, as the probability of being chosen on a trial is dependent on the outcome of previous trials. 0 A hypergeometric distribution, as the probabi 'ty of being chosen on a trial is independent of the outcomes of previous trials. 0 A binomial distribution, as the probability of being chosen on a trial is either a success or a failure. 0 A binomial distribution, as the probability of being chosen on a trial is dependent of the outcomes of previous trials. (b) Find the probability that four or more internship trained candidates are hired. (Round your answer to four decimal places.) :I (c) What is the mean and standard deviation of in (Round your answers to four decimal places.) Need Help? 13. [-17.72 Points] WACKERLYSTATT 3.7.107. I MY NOTES ' I ASK YOUR TEACHER l I PRACTICE ANOTHER A group of nine software packages available to solve a linear programming problem have been ranked from 1 to 9 (best to worst). An engineering firm, unaware of the rankings, randomly selects and then purchases two of the packages. Let Ydenote the number of packages purchased by the firm that are ranked 3, 4, 5, or 6. Give the probability distribution for Y. The distribution is , with N = ,n=| ,andr= l