Discrete Random Variable Quiz & Flashcards

Study Notes

Discrete Random Variables

A discrete random variable is a variable that can only take on specific, distinct values

Probability Mass Function (PMF)

A PMF describes the probability of each distinct value of a discrete random variable
From a PMF, you can determine:
- The probability of each possible value of the discrete random variable
- The probability of a range of values of the discrete random variable

Cumulative Distribution Function (CDF)

The purpose of a CDF is to describe the cumulative probability of a discrete random variable
A CDF describes the probability that a discrete random variable takes on a value less than or equal to a given value
Using a CDF, you can calculate:
- The probability that a discrete random variable takes on a value within a certain range
- The probability that a discrete random variable takes on a value less than or equal to a certain value

Discrete Probability Distributions

Each discrete probability distribution has its own set of assumptions that must be met in order to use the distribution
Examples of discrete probability distributions include the Binomial, Poisson, and Hypergeometric distributions
Assumptions necessary for each distribution vary, but may include:
- Independence of trials
- Fixed number of trials
- Constant probability of success
- And others, depending on the specific distribution

Description

Test your knowledge on discrete probability distribution with this quiz! Learn how to determine probabilities from probability mass functions and cumulative functions, calculate means and variances for discrete random variables, and understand key assumptions. Prepared by Engr. Jerson A. Culla and Engr. Ladylyn M. Culla.