Questions: The area under any density curve is infinitely large, is always equal to 1, depends on the distribution.

Solution Steps

To determine the correct answer, we need to understand the properties of a density curve in probability and statistics. A fundamental property of a density curve is that the total area under the curve is always equal to 1, as it represents the entire probability distribution.

A density curve is a graphical representation of a probability distribution. One of the fundamental properties of a density curve is that the total area under the curve is always equal to 1. This is because the area under the curve represents the total probability of all possible outcomes, which must sum to 1.

Given the options:

• is infinitely large
• is always equal to 1
• depends on the distribution

We can conclude that the correct answer is "is always equal to 1" based on the property of density curves.

Final Answer