Problem
Determine whether the random variable $\mathrm{x}$ is discrete or continuous. Explain. Let $\mathrm{x}$ represent the height of a randomly selected giraffe. Choose the correct answer below. A. The random variable is discrete, because it has an uncountable number of possible outcomes. B. The random variable is continuous, because it has an uncountable number of possible outcomes. C. The random variable is continuous, because it has a countable number of possible outcomes. D. The random variable is discrete, because it has a countable number of possible outcomes.
Solution
Step 1 ：Determine whether the random variable x is discrete or continuous. Let x represent the height of a randomly selected giraffe.
Step 2 ：Choose the correct answer from the given options.
Step 3 ：The height of a giraffe is a continuous variable because it can take on any value within a certain range. It is not limited to specific, countable values.
Step 4 ：Therefore, the random variable x, representing the height of a randomly selected giraffe, is continuous.
Step 5 ：\(\boxed{\text{B. The random variable is continuous, because it has an uncountable number of possible outcomes.}}\)
