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statistics ques
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Sinistral
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statistics ques

"You don't have to believe in God, but you should believe in The Book." Paul Erdős
wolverine
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Re: statistics ques
it can be verified for any value of n
take n=2
X1,X2,X3,X4 be the rv
so we will find V(X1X2+X3X4)= V(X1+X3(X2+X4))
= V(X1+X3) + V(X2+X4)  2COV(X1+X3,X2+X4)
= V(X1)+V(X3) +2COV(X1,X3) + V(X2) +V(X4) + 2COV(X2,X4)  2[COV(X1,X2)+COV(X1,X4)+COV(X2,X3)+COV(X3,X4)]....egn 1\
given V(Xi)=4 and cov(Xi,Xj)=3 putting dese values in 1 we get
4+4+ 2*3 +4 +4 + 2*3 2(3+3+3+3)
= 2824=4
which equals 2n...option b
Amit Goyal
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Re: statistics ques
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by Sinistral
Solution is attached:
sol_stat.png
Sinistral
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Re: statistics ques
thank you both of you. I realised I hadnt studied unbiasedness & i jumped to this ques.

"You don't have to believe in God, but you should believe in The Book." Paul Erdős
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