A class of 200 students writes a midterm; the average grade is 75%. a. Use Markov's inequality to find an upper bound on the number of students getting more than 90%. b. Use Markov's inequality to find an upper bound on the number of students getting less that 40%. c. Suppose the standard deviation is 7.5%. Use Chebyshev's inequality to find an improved upper bound on the number of students getting more than 90%. d. Now suppose that in addition to the information above you are told the grades are normally distributed. Determine the number of students getting more than 90%