Take a random variable Z such that E Z 0 and var Z 1 Use Chebyshevs inequality (Theorem 7 1) to find a such that P jZj 0 05 Contrast this with the exact which solves P jZj 0 05 when Z N(0,1) Comment on the difference

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Question: Take a random variable Z such that E[Z] 0 and var[Z] 1. Use Chebyshevs inequality (Theorem 7.1) to find a such that

Take a random variable Z such that E[Z] Æ 0 and var[Z] Æ 1. Use Chebyshev’s inequality

(Theorem 7.1) to find a ± such that P[jZj È ±] · 0.05. Contrast this with the exact ± which solves P[jZj È ±] Æ 0.05 when Z »N(0,1) . Comment on the difference.

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