The distribution of income in some Third World countries is considered wedge shaped (many very poor people, very few middle income people, and even fewer wealthy people). Suppose we pick a country with a wedge shaped distribution.

Let the average salary be \($2,000\) per year with a standard deviation of \($8,000.\) We randomly survey 1,000 residents of that country.

a. In words, Χ = _____________

b. In words, X - = _____________

c. X̅ ~ _____(_____,_____)

d. How is it possible for the standard deviation to be greater than the average?

e. Why is it more likely that the average of the 1,000 residents will be from \($2,000\) to \($2,100\) than from \($2,100\) to \($2,200\)?