Howtosignalprocessing
- What is the pdf of the random variable?
- Do all random variables have a PDF?
- What is the PDF of a discrete random variable?
- Can the PDF of a random variable be greater than 1?
What is the pdf of the random variable?
The probability density function or PDF of a continuous random variable gives the relative likelihood of any outcome in a continuum occurring. Unlike the case of discrete random variables, for a continuous random variable any single outcome has probability zero of occurring.
Do all random variables have a PDF?
Not every probability distribution has a density function: the distributions of discrete random variables do not; nor does the Cantor distribution, even though it has no discrete component, i.e., does not assign positive probability to any individual point.
What is the PDF of a discrete random variable?
The probability density function (PDF) of a random variable is a function describing the probabilities of each particular event occurring. For instance, a random variable describing the result of a single dice roll has the p.d.f.
Can the PDF of a random variable be greater than 1?
Hence, probability density function can be greater than 1.
