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 a and b
D)the height of the function at x
E)none of the above

Question

Quizplus · Accepted Answer

The probability density function (PDF) for a continuous random variable gives the height of the function at any point x, not the probability at that point. The probability for a specific value in a continuous distribution is zero; probabilities are found by integrating the PDF over an interval.

For a Continuous Random Variable X, the Probability Density Function