Let X1, X2,... be nonnegative i.i.d. random variables with E(X) = 3 and Var(Xk) = 1. (a) (2 points) Use Markov's inequality to give an upper bound on P(X1> 5). (b) (2 points) Use Chebyshev's inequality to estimate P(|X1 – 3| > 2). (c) (5 points) Give a number n so that X1+.+Xn P(|조i++Xn _3|> 2) < 10. n Briefly justify your answer.

Let X1, X2,... be nonnegative i.i.d. random variables with E(X) = 3 and Var(Xk) = 1. (a) (2 points) Use Markov's inequality to give an upper bound on P(X1> 5). (b) (2 points) Use Chebyshev's inequality to estimate P(|X1 – 3| > 2). (c) (5 points) Give a number n so that X1+.+Xn P(|조i++Xn _3|> 2) < 10. n Briefly justify your answer.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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