**Definition** We say a discrete random variable $$\mathbb{X}$$ is a Bernoulli random variable with parameter $$p$$, or has a Bernoulli distribution with parameter ...
A new class of distributions over (0,1) is obtained by considering geometrically weighted sum of independent identically distributed (i.i.d.) Bernoulli random variables. An expression for the ...
The Bernoulli distribution is a discrete probability distribution for a binary random variable. It models scenarios with two possible outcomes, often referred to as "success" and "failure." This ...
In the board game "Chick-a-Pig," a cow that sits in the center of the board and creates an obstacle for players attempting to move across the board. On each turen, a player rolls a die to determine ...