Hi everyone, and welcome to my series on cryptography! Initially, I started writing this as a single post, but as I was planning what I wanted to include, and seeing how long it would become, I decided it's best to split it into separate posts. … [Continue reading]

## Discrete Probability Distributions: Overview (Series)

In my previous two posts I sketched the frame of the big picture around probability distributions. In my introductory post I gave some intuition about the general concept and talked about the two major kinds: discrete and continuous distributions. … [Continue reading]

## Mean and Variance of Probability Distributions

In my previous post I introduced you to probability distributions. In short, a probability distribution is simply taking the whole probability mass of a random variable and distributing it across its possible outcomes. Since every random variable … [Continue reading]

## Introduction to Probability Distributions

If you want to take your understanding of probabilities to the next level, it's crucial to be familiar with the concept of a probability distribution. In short, a probability distribution is an assignment of probabilities or probability … [Continue reading]

## The Variance: Measuring Dispersion

A few posts ago I introduced you to the "three M's" of statistics — the concepts of mean, mode, and median. Today I want to talk to you about a related concept called variance. While the three M's measure the central tendency of a collection of … [Continue reading]

## Intuitive Explanation of Expected Value

Expected value is another central concept in probability theory. It is a measure of the "long-term average" of a random variable (random process). I know this doesn't sound too clear, but in this post I'm going to explain exactly what it … [Continue reading]

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