continuous random variable

A continuous random variable is a value that can take any value within a range or interval. Unlike whole numbers, it can represent measurements like height, temperature, or time, where there are infinitely many possibilities between any two points. For example, the exact height of a person could be 170.2 cm, 170.25 cm, or any value in that range. Because of this, the probability of it being exactly one specific value is zero; instead, probabilities are calculated over intervals. Continuous variables are fundamental in measuring and modeling real-world quantities that vary smoothly.