Question 5: From past experience, a professor knows that the test score of a student taking her nal exam is a continuous random variable with mean u = 75 and variance 0'2 = 253 (3) Use Markov's inequality to give an upper bound for the probability that a student's test score will exceed 85. (b) Use Chebyshev's inequality to determine what can he said about the probability that a student will score between 65 and 85. (c) How many students would have to take the exam to ensure, with probability at least 0.95, that the class average would be within 2 marks of 75'? Assume that you can apply the Central Limit Theorem. (d) How accurate do you think Markov's inequality and Chebyshev's inequality are? Do you think it's worth using them in prantiee? 'Why or why not