Asked by Molly Cecil on Sep 27, 2024

Which of the following is always true for all probability density functions of continuous random variables?

A) The probability at any single point is zero.
B) They contain an uncountable number of possible values.
C) The total area under the density function f(x) equals 1.
D) All of these choices are true.

Probability Density Functions

Functions that describe the likelihood of a continuous random variable falling within a particular range of values.

Continuous Random Variables

Continuous random variables are quantities that can assume an infinite number of values within a given range, often representing measurements that can vary continuously.

  • Acquire knowledge regarding the attributes of a probability density function.
  • Comprehend the importance of non-negative values and the integral's magnitude in characterizing a probability density function.