Q26.Let X1,X2,…,Xn be i.i.d. X with mean μ=0 and variance σ2=1. Using Chebyshev's inequality, what should be the minimum value of n such that the probability that the sample mean nX1+X2+⋯+Xn lies between −0.5 and 0.5 is at least 0.95?
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Q26
2 Apr 2023
Q26.Let X1,X2,…,Xn be i.i.d. X with mean μ=0 and variance σ2=1. Using Chebyshev's inequality, what should be the minimum value of n such that the probability that the sample mean nX1+X2+⋯+Xn lies between −0.5 and 0.5 is at least 0.95?
