Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of fish caught during a fishing tournament. (b) The square footage in square feet of a house. (a) Is the number of fish caught during a fishing tournament discrete or continuous? A. The random variable is continuous. The possible values are \( x=0,1,2, \ldots \) B. The random variable is continuous. The possible values are \( x \geq 0 \), C. The random variable is discrete. The possible values are \( x=0,1,2, \ldots \). D. The random variable is discrete. The possible, values are \( x \geq 0 \),

The number of fish caught during a fishing tournament is a classic example of a discrete random variable. This means it can only take specific, countable values such as 0, 1, 2, and so on. You can't catch a fraction of a fish, right? Therefore, the correct answer is: C. The random variable is discrete. The possible values are \( x=0,1,2, \ldots \). On the other hand, the square footage in square feet of a house represents a continuous random variable. It can take on any value within a given range, including decimals, because a house's size can be measured very precisely. So if you think about measuring a room, you might say it’s 12.5 feet by 15.75 feet, showcasing that any value is possible.