Answer to Question #173479 in Statistics and Probability for ANJU JAYACHANDRAN

Question #173479

8. (a) Let X X Xn

, , , 1 2 K be independently and identically distributed b ,1( p) random 

variables. Obtain a confidence internal for p using Chebychev’s inequality. 


1
Expert's answer
2021-03-26T17:11:51-0400

For sample mean

X=1Nxk\overline{X}=\frac{1}{N}\sum x_k

using Chebishev inequality:

P(Xμb)σ2Nb2P(|\overline{X}-\mu|\geq b)\leq\frac{\sigma^2}{Nb^2}


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