Question

if x1 x2 ... xn are independent and identically distributed sample taken from N(u,c^2 u^2),then sufficient for u is​

Answer 1

Answer:It's 1/3 since by symmetry each of the three random variables is equally likely to be the largest among them. More generally, if  X1,X2,…,Xn  are i.i.d. random variables from a continuous distribution, then by symmetry we have

P(X1 is the largest Xi)=1n  

Also by symmetry, in this situation all n! orderings are equally likely so, for example,

P(X1<X2<⋯<Xn)=1n!

Explanation:

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