**Definition** We say a discrete random variable $$\mathbb{X}$$ is a Bernoulli random variable with parameter $$p$$, or has a Bernoulli distribution with parameter ...
Abstract: This paper considers the entropy of the sum of (possibly dependent and non-identically distributed) Bernoulli random variables. Upper bounds on the error ...
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 ...
A **variable** is said to be **random** if its values are determined by a random experiment. In other word, **random variable** is a numerical description of the ...
Abstract: This study considers a problem of finding an optimal approximation of conditional information measures, like the conditional entropy, of a Bernoulli random variable (RV) given an auxiliary ...
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 ...
If X 1, X 2, ... is a sequence of independent Bernoulli random variables, the number of successes in the first n trials has a binomial distribution and the number of failures before the rth success ...
If the probability that a randomly selected person will vote in the next election is 0.39, how would we find the probability that more than half of the people in a sample of 1000 will vote? Since the ...
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