The average number of students in a class at a certain university is 31.
a. Use the Markov inequality to find an upper bound on the probability that a class selected at random will have 40 or more students.
b. In the scenario above, now assume that the variance of the class size is 64. Use the Chebyshev inequality to find a bound on the probability that a class selected at random will have between 17 and 45 people.