9.3 Let S be the sum of 100 fair dice rolls. Use (i) Markov's inequality and (ii) Chebyshev's inequality to bound P(S 380

9.5 Let X be a positive random variable with = 50 and 2 = 25.

(a) What can you say about P(X 60) using Markov's inequality?

(b) What can you say about P(X 60) using Chebyshev's inequality?

SOLUTIONS FOR CHAPTER 9

9.3 (i) P(S 380) 0.921; (ii) P(S 380) 0.324.

9.5 (a) P(X 60) 0.833; (b) P(X 60) 0.25.