In: Math
At a Midwestern business school, historical data indicates that 70% of admitted MBA students ultimately join the business school’s MBA program. In a certain year, the MBA program at the University admitted 200 students.
a. Find the probability that at least 150 students ultimately join the MBA program.
b. Find the probability that no less than 135 and no more than 160 students finally join the MBA program.
c. How many students should the MBA program expect to join the program?
d. What is the standard deviation of the number of students who will join the MBA program? e. Let X be the number of students out of 200 who will join the program. Would the empirical rule apply to the probability distribution of X in this case?