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caseEs2E1 NNXi1xi x21 xNXi1 x2WeknowPNi1xiN xandPNi1 x2N x2PlugtheseintothederivationEs21 NENXi1x2i2N x2N x21 NENXi1x2iN x21 NENXi1x2iE x2Ex2E x2Acco

case:E[s2]=E[1 NNXi=1(xi x)2]=1 x+NXi=1 x2]WeknowPNi=1xi=N xandPNi=1 x2=N x2.Plugtheseintothederivation:E[s2]=1 NE[NXi=1x2i2N x2+N x2]=1 NE[NXi=1x2iN x2]=1 NE[NXi=1x2i]E[ x2]=E[x2]E[ x2]Acco

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