What is the height of the density curve?

The height of a density curve represents the maximum value of the probability density function (PDF) and indicates the likelihood of a random variable taking on a particular value. For continuous probability distributions, the area under the entire curve equals 1, meaning that while the height can vary, it must be such that the total area remains constant. In some cases, the height of the curve can exceed 1, especially for distributions with a narrow spread, as long as the area under the curve sums to 1.