For a continuous random variable x, the probability density function f(x) represents the

A) probability at a given value of x.
B) area under the curve at x.
C) area under the curve to the right of x.
D) height of the function at x.

The probability density function for a continuous random variable represents the relative likelihood of a given outcome occurring. It is not a probability but a density. The height of the function at a particular value of x gives the relative likelihood or density of that outcome occurring. The area under the curve represents the probability of the random variable falling within a certain range of values, but at a specific value of x, only the height or density is represented.