Use python

The distribution of individual income in the United States in the mid$-1990$s was well$-$described by an exponential distribution with lambda$=20286,$ where all quantities are in US dollars.

a$)$Consider that an individual is determined to be "rich" if their income exceeds $$100,000.$ Determine the fraction of the population that is rich.

b$)$Compute the average income of rich people.

c$)$Determine the combined income of all rich people as a fraction of the total income in the country. Express your answer as a percentage.

d$)$Comment on the wisdom of the government just taxing "rich" people.

e$)$Create a vector dink which describes $50,000$ double$-$income households. Each element of the vector should be the sum of two incomes drawn from the exponential distribution. Plot the distribution of double$-$incomes as a histogram.

f$)$Compute the average income in a double$-$income household.

g$)$Consider a definition of poverty where household income is less than $$15,000.$ Compute the fraction of single$-$income and double$-$income households which are living in poverty. Express both fractions as a percentage.