Assume that the number of students who successfully complete this course (with a grade of ‘C' or better) has a binomial distribution, with the probability p = .80 that any given student selected will successfully complete the course. Determine which of the following statements are true and which are false about a class of 100 students enrolled in the course. If false PLEASE explain.
a. On average, we should expect 75 students to successfully complete the course.
b. In a class of this size, we should expect that about 20 students would not successfully complete their course.
c. One of the assumptions of the binomial is that the chance that any given student successfully completes the course is the same as the chance for any other student in the class.
d. The other assumption of the binomial is that whether one student successfully completes the course does not affect whether any other student is successful.
e. The standard deviation for this random variable x is 4.
f. If the first 19 students successfully complete the course, then it is virtually certain that the 20th student will also succeed.