PDF, CDF and PMF – Probability Distribution Functions

  • /
  • Blog
  • /
  • PDF, CDF and PMF – Probability Distribution Functions

In probability and statistics, several terms are used to describe the various functions that are used to model probability distributions. These include:

Probability density function (PDF):

The PDF is a function that describes the probability of a continuous random variable taking on a certain value. It is a mathematical function that describes the probability that a random variable will fall within a certain range of values.

Cumulative distribution function (CDF):

The CDF is a function that describes the probability that a random variable (continuous or discrete) will take on a value less than or equal to a certain value. It is a mathematical function that describes the probability that a random variable will fall within a certain range of values, up to and including a specific value.

Probability mass function (PMF):

The PMF is a function that describes the probability of a discrete random variable taking on a certain value. It is a mathematical function that describes the probability that a random variable will take on a specific value rather than falling within a range of values.

Summary:

In summary, PDFs are used to describe the probability of a continuous random variable taking on a certain value, CDFs are used to describe the probability that a random variable (continuous or discrete) will take on a value less than or equal to a certain value, and PMFs are used to describe the probability of a discrete random variable taking on a certain value.

 


Customers served! 1

Quality Management Course

FREE! Subscribe to get 52 weekly lessons. Every week you get an email that explains a quality concept, provides you with the study resources, test quizzes, tips and special discounts on our other e-learning courses.

Similar Posts:

December 18, 2022

Measurements of Dispersion (Variation)

December 22, 2022

Analysis of Contingency Tables

March 30, 2018

History of Lean

November 17, 2021

SIPOC

December 23, 2022

Probability: Types of Events

November 21, 2022

Design of Experiments (DoE) – 5 Phases

December 10, 2022

Six Sigma Certification

November 26, 2021

DMAIC Tollgate Reviews

32 Courses on SALE!