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30C121 Ekonometria. https://cie.hkkk.fi/30C121. Petri Jylhä. R.1. S f(x)=36. P(X=0)=6/36=0,167. R.2. R.3. E(X) = S x i P(X=x i ). = 0*0,167+1*0,278+…+5*0,056. = 1,94. R.4. E(X) = S x i P(X=x i ). = 1*0,028+2*0,083+…+6*0,306. = 4,47. R.6. E(X 2 ) = S x i 2 P(X=x i ).
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30C121 Ekonometria https://cie.hkkk.fi/30C121 Petri Jylhä
R.1 Sf(x)=36 P(X=0)=6/36=0,167
R.3 E(X) = SxiP(X=xi) = 0*0,167+1*0,278+…+5*0,056 = 1,94
R.4 E(X) = SxiP(X=xi) = 1*0,028+2*0,083+…+6*0,306 = 4,47
R.6 E(X2) = Sxi2P(X=xi) = 0*0,167+1*0,278+…+25*0,056 = 5,83
R.7 E(X2) = Sxi2P(X=xi) = 1*0,028+4*0,083+…+36*0,306 = 21,97
R.9 m = 1,94 s2X = Spi(xi-m)2 = 0,167*(-1,94)2+…+0,056*(3,06)2 = 2,05 = 1,43
R.10 m = 4,47 s2X = Spi(xi-m)2 = 0,028*(-3,47)2+…+0,306*(1,53)2 = 1,97 = 1,40
R.11 E(X2) = 5,83 m = 1,94 s2X = E(X2)-m2 = 5,83-1,942 = 2,05
R.11 E(X2) = 21,97 m = 4,47 s2X = E(X2)-m2 = 21,97-4,472 = 1,97