Question
Let Z be the number of heads minus the number of tails after flipping a fair coin n times. (a) Compute E(Z). (b) Compute E(Z2)
Let Z be the number of heads minus the number of tails after flipping a fair coin n times.
(a) Compute E(Z). (b) Compute E(Z2) and compare it to Var(Z). (c) Use Chebyshev's inequality to obtain an upper bound on P (|Z| > 2n). (d) Compute E(Z4). (e) Use part (d) and Markov's inequality to show that you can improve the upper bound in part(c).
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Global Strategy
Authors: Mike W. Peng
5th Edition
0357512367, 978-0357512364
