2. Consider independent fair coin tosses: P(X; = 1) = P(Xį = 0) = 2. LetX₁ = 1/2₁ X₁ be the sample mean of first n coin tosses.n(a) What is the E[X100]?(b) What can you say about the probability that the sample mean X100 liesbetween 40 and 60?

2. a) Given that PXi=1=PXi=0=12. Here the tosses are independent. So, Xi's are independent random…

Answered: 2. Consider independent fair coin…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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2. Consider independent fair coin tosses: P(X; = 1) = P(Xį = 0) = 12. Let Ăn = ½/2 Σï=₁ Xį be the sample mean of first n coin tosses. n (a) What is the E[X100]? (b) What can you say about the probability that the sample mean X100 lies between 40 and 60?