Mars has an income distribution that can be modeled by the Lorenz Curve
L(x)=x2.75
a. What percent of the wealth do the poorest 35% of Martians control? Round your answer to 2 decimal places
b.What is Mars's Gini Index? Round your answer to 2 decimal places.
Mars has an income distribution that can be modeled by the Lorenz Curve L(x)=x2.75 a. What...
3. In a certain country the Lorenz Curve is modeled by L(x)- .95x2- 26x +31 a. Determine what percent of the wealth the poorest 60% controls. .496 or 49.6% b. Determine what percent of the wealth the wealthiest 25% control. 1-.25=.75 .649375 or 64.9% c. Find the Gini index
3. In a certain country the Lorenz Curve is modeled by L(x)- .95x2- 26x +31 a. Determine what percent of the wealth the poorest 60% controls. .496 or 49.6% b. Determine...
2. The following table gives points on the Lorenz curve for the U.S. in 1970. 0 .6 8 .2 .4 L(x) 0 .323 .568 1 041 .149 a) Based on the table, the poorest 20% of the population in 1970 earned what percent of the total income? b) The richest 20% of the population earned what percent of total income in the US, in 1970? Use a calculator or computer to find a quadratic curve best fit with form L(x)...
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- 4 marks) In economics, a population's Lorenz curve L(2) gives the percentage (as a decimal) of the country's distribution of wealth among the lowest earning percentage 2 (as a decimal between 0 and 1; e.g., 35% means x = 0.35) of the population. As an example, if L(0.4) = 0.1, then this means that the lowest earning 40% of households have only 10% of the entire economy's wealth. The line y =...
Suppose the Lorenz curve for the distribution of income of a certain country is given by the equation shown below. y = xe8x - 8 Find the Gini coefficient of income. (Round your answer to three decimal places.) Need Help? Read It Talk to a Tutor
Lorenz Curve The United Nations reports data on income distribution for different countries as a ratio of the income of the richest 10% to the income of the poorest 10%. If the ratio for Japan is 4.5 and the ratio for the United States is 15.9, which of the following statements is correct? a) This ratio is the slope of the Lorenz curve for each country. b) This is the same thing as the Gini coefficient. c) The distribution of...
3. The Gini Index Problem How is possible to measure the distribution of income among the inhabitants of a given country One such measure is the Gini index, named after the Italian economist Corrado Gini, who first devised it in 1912. We first rank all households in a country by income and then we compute the percentage of households whose income is at most a given percentage of the country's total income. We define a Lorenz Curve y L(x) on...
Show all work. Write neatly,use extra paper if needed one single PDF document and upload on Blackboard. Please do not email. Save with the filename and circle answers. Scan all pages together into format yourname_HW1.pdr. This assignment contains 5 questions on two pages. Use the definition of the Gini Index to show G-2 1. (x-L(x))dx where L(x) is the Lorenz curve. Show work to derive this formula. 2. The following table gives points on the Lorenz curve for the U.S....
x-2 Find the Gini index of income concentration for the Lorenz curve with equation y =xe The Gini index isRoud to the nearest thousandth as needed.)
x-2 Find the Gini index of income concentration for the Lorenz curve with equation y =xe The Gini index isRoud to the nearest thousandth as needed.)
Analyze this distribution of income. Draw the Lorenz curve. Complete the Gini index. Calculate top income shares. Income groups Group members Group income 350 2,500 250 5,000 150 15,000 60,000 50 Sum
L(x)=x^p
p=1.3,1.8,2,3,4
by y = L(x), where 0sxs1 represents the lowest fraction of the population of a society in terms of weath and OSystrepresents te faction of the total wealth that is owned by that fraction of the society. Use this information to complete parts a through g Click the lcon to view an example of a Lorenz curve. is accompanied by the line y=x called the line of perfect og ality. Explain why this line is given this name....