Final answer:
The random variable X represents different income groups. Its values and distribution are explained.
Step-by-step explanation:
a. In words, the random variable X represents the income groups <$30,000, $30,000–$49,999, $50,000–$74,999, and $75,000 .
b. The values that X may take on are 1, 2, 3, and 4.
c. The distribution of X is X~ {1, 2, 3, 4} with probabilities {P(1), P(2), P(3), P(4)} respectively.