A discrete random variable maps the outcomes of a chance process to a countable set of numbers. Variables corresponding to outcomes that are are counted are discrete. Values might be fractional and ...

For discrete and continuous random variables, application and interpretation can be done by using various examples, scenarios, or contexts, such as games, surveys, experiments, or measurements.

The MOOCs I learnt myself. The repo is kept as a record for myself. - Mooc/6.431x/Unit 4 Discrete random variables/Lec. 6 Variance; Conditioning on an event; Multiple r.v.'s/L6 exercises.md at master ...

Read These Chapter 5. Discrete Probability Distributions in the textbook: 5.1 The Probability Distribution for a Discrete Variable (pp. 186-188) It may be a good idea to work on your own to calculate ...

Given a random variable, X, and real number, x, p (x) = P [X=x] is the probability that X takes the value x. For a discrete random variable, A random variable is a real-valued function defined on the ...

A continuous random variable is a type of variable that can take on any value within a given range. Unlike discrete random variables, which have a countable number of outcomes, continuous random ...

For lots of mathematical problems we need an ability to sample discrete random variables. The problem is that due to continuos nature of deep learning optimization, the usage of truely discrete random ...

For example, stock prices are discrete random variables, because they can only take on certain values, such as $10.00, $10.01 and $10.02 and not $10.005, since stocks have a minimum tick size of ...

This work provides new bounds on the difference between the entropies of two discrete random variables in terms of the local and total variation distances between their probability mass functions. The ...