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Title INBPANUApdf Author kkasprzak Created Date 117 PM$$=f(\lim_{h\rightarrow 0}xbh)f(\lim_{h\rightarrow 0}xah)$$ $$=f(xb)f(xa)$$ Share Cite Follow answered Jun 1 ' at 1814 crystal_math crystal_math 1,507 4 4 silver badges 16 16 bronze badges $\endgroup$ Add a comment Your Answer Thanks for contributing an answer to Mathematics Stack Exchange!T o p r o v id e in p u t d a t a t h a t a r e alw a ys needed a n d w o u ld b e b o r in g to sp ecify with the v a r i a b l e n a m e = v a r i a b l e v a l u e syntax used b y NAMELIST IN P U T CARDS require data in sp eciÞc o r der ( which m a y dep e nd on the s ituation and o n t he value o f a c a r d fo rmat sp eciÞer ) F o r in s t a n c e I N P U T _ C A R D c a r d _ f o r

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E(X i) =μand V(X i) = σ2 are assumed Consider arithmetic average X =(1/n) n i=1 X i Then, mean and variance of X are given by E(X) =μ, V(X) = σ2 n 138 Proof The mathematical expectation of X is given by E(X) =E(1 n n i=1 X i) = 1 n E(n i=1 X i) = 1 n n i=1 E(X i) = 1 n n i=1 μ= 1 n nμ=μ E(aX) =aE(X) in the second equality and E(X Y) = E(X)E(Y) in the third equality are utilized' % c ¹C X Y g V z G I r X ¥

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