For a continuous random variable x, the probability density function f(x) represents _____.
A) the probability at a given value of x
B) the area under the curve at x
C) both the probability at a given value of x and the area under the curve at x
D) the height of the function at x

Question

Quizplus · Accepted Answer

For a continuous random variable, the probability density function (PDF) does not give the probability at a specific point (since this is always 0 for a continuous distribution). Instead, the PDF provides the height of the function at any given value of x, which can be used to find probabilities over intervals by calculating the area under the curve over that interval.

For a Continuous Random Variable X, the Probability Density Function