Final answer:
The random variable X represents the number of adults in America that must be surveyed until one who will watch the Super Bowl is found. The values that X may take on are 1, 2, 3, 4, and so on. The distribution of X is X ~ Geometric(p).
Step-by-step explanation:
The random variable X represents the number of adults in America that must be surveyed until one who will watch the Super Bowl is found.
The values that X may take on are 1, 2, 3, 4, and so on, since we need to survey at least one person before finding someone who will watch the Super Bowl.
The distribution of X is X ~ Geometric(p), where p is the probability that an adult in America will watch the Super Bowl.