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At a Midwestern business school, historical data indicates that 70% of admitted MBA students ultimately join...

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Basic Math

At a Midwestern business school, historical data indicates that70% of admitted MBA students ultimately join the business school’sMBA program. In a certain year, the MBA program at the Universityadmitted 200 students.

a. Find the probability that at least 150 students ultimatelyjoin the MBA program.

b. Find the probability that no less than 135 and no more than160 students finally join the MBA program.

c. How many students should the MBA program expect to join theprogram?

d. What is the standard deviation of the number of students whowill join the MBA program? e. Let X be the number of students outof 200 who will join the program. Would the empirical rule apply tothe probability distribution of X in this case?

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