Use R/RStudio if you can, please include code

Q1. (10 points.) Annual incomes for heads of household in a section of a city have approxi- mately a gamma distribution with a = 22 and 6 = 1000. (a) (5 points.) What is proportion of household incomes that exceed $60, 000 in this section of the city? (b) (5 points.) Claire is a social worker who has been study the population living in this section, and she Claims that the middle household income (median) is $10, 000, is she right? Why or why not