Question
Lorenz Curve is given by:
dir="ltr">L(x) = 1/3 (X^3) + 2/3 (x^5). Calculate Gini Coefficient.Solution
The Gini coefficient is equal to the area below the line of perfect equality (0.5 by definition) minus the area below the Lorenz curve, divided by the area below the line of perfect equality. In other words, it is double the area between the Lorenz curve and the line of perfect equality.
Statements: D ≤ E < L < F; H < I ≤ O = E; G > F > J
Conclusions:
I. H < L
II. J < D
III. G > O
Statements: R > S > T ≥ U; Q ≥ R; W = V < U
Conclusions:
I. S > Q
II. W < T
III. Q > W
Statement: D < M < P = V = E ≥ T > Z
Conclusion: I. P > Z II. D > E
Statement: G ≤ L ≥ O ≥ W ≥ I < N
Conclusion: I. I < LÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. L = I
...Which of the following will be definitely true if the given expression O > B ≥ E > Z ≥ Y > P = X ≤ J > W ≤ N is definitely not true?
Statements:Â
I @ Y © Z * A $ MÂ
Conclusions:Â
I. Z * MÂ
II. A % YÂ
III. A % I
Statement: R < P, M < R, DÂ `<=` P = T
  Conclusion: I. R > D          II. D `>=` M
...Statements: A ≥ B ≥ Y = Z = M ≥ N ≤ E ≤ F = J
Conclusions:
I. F > Z
II. J ≤ Y
Statements:
Only Ear is Eye.
No Hand is Ear.
Only a few Hands are Legs.
Conclusion:
I. Some Eyes can be Legs.
...
Statement: D < E < F ≥ G; D ≥ H > I
Conclusion: I. F > IÂ Â Â Â Â II. F = I