Government agencies keep data about the income distribution of the population. The Thompson family and Brooks family live in a county with 5000 familes. The Thompson family's income is at the \( 93^{\text {to }} \) percentile. The Brooks family's income is at the \( 44^{\text {th }} \) percentile.
(If necessary, consult a list of formulas.)
(a) Which of the following must be true about the Thompson family's income?
About \( 93 \% \) of the families in their county earn less than the Thompson family.
The Thompson family earns about 93\% of the highest income in their county.
The Thompson family's income is in the bottom half of incomes in their county.
The Thompson family earns \( \$ 93,000 \).
(b) Which of the following must be true about the Thompson family's and the Brooks family's incomes?
Both the Thompson family and the Brooks family earn more than the median income.
Both the Thompson family and the Brooks family earn less than the mediun
income.
The Thompson family earns more than the Brooksfamily.
The Brooks family earns more than the Thompson family.