Lorenz/Gini Index

a:

Gotham City has an income distribution that can be modeled by the Lorenz Curve

L(x)=1/10x2+9/10x What percent of the wealth do the upper 20% control? Round your answer to 2 decimal places.

What is the Gotham City's Gini Index? Round your answer to 2 decimal places.

Metropolis has a Gini index of 0.0133. Which city's income is more equitably distributed?

b:

Munchkinland has an income distribution that can be modeled by the Lorenz Curve L(x)=x^3.05

What percent of the wealth do the poorest

10% of Munchkins control? Round your answer to 2 decimal places. What is Munchkinland's Gini Index? Round your answer to 2 decimal places.

Emerald City has a Gini index of 64.82%. Which location's income is more equitably distributed?

c:

Mars has an income distribution that can be modeled by the Lorenz Curve

L(x)=x^1.95

What percent of the wealth do the poorest 30% of Martians control? Round your answer to 2 decimal places. What is Mars's Gini Index? Round your answer to 2 decimal places.

Saturn has a Gini index of 46.40%. Which planet's income is more equitably distributed?

d:

Narnia has an income distribution that can be modeled by the Lorenz Curve

L(x)=3/10x2+7/10x

What percent of the wealth do the richest 5% of Narnians control? Round your answer to 2 decimal places.

What percent of the wealth do the richest 5% of Narnians control? Round your answer to 2 decimal places.

Wardrobe has a Gini index of 0.0400. Which land's income is more equitably distributed?