Higher education institutions are increasingly introducing courses based on hybrid instruction, a combination of conventional face-to-face and online instruction. In a recent nationwide study by EDUCAUSE Center for Analysis and Research, it was found that 77% of students believe that hybrid learning is the most effective learning environment for them. You decide to poll a sample of the incoming students at your institution to gauge their attitude toward hybrid courses. In an SRS of 200 incoming students, you find that 170 prefer this type of course delivery.

1. a. What are the mean and standard deviation of the number of students who prefer hybrid learning in your sample if your institution's student population follows the same proportion as the nationwide student population?(Hint: binomial distribution)

1. b. Using the 68-95-99.7 rule, if you had drawn an SRS from the national body of students, you would expect the count of students who prefer hybrid learning to fall between what two values about 95% of the time?