P(x > a) - Probability that x is greater than a P(x >= a) - Probability that x is greater than or equal to a P(x < a) - Probability that x is less than a P(x <= a ...

Most people are familiar with conventional cubical six-sided dice, but there are also polyhedral versions like the 20-sided dice used in ancient Rome and to play Dungeons and Dragons. Researchers have ...

The binomial distribution is a key concept in probability that models situations where you repeat the same experiment several times, and each time there are only two possible outcomes—success or ...

Abstract: The Poisson-binomial probability density function (pdf) describes the numbers of successes in N independent trials, when the individual probabilities of success vary across trials. Its use ...

The mathematician Daniel Litt has driven social media users to distraction with a series of simple-seeming but counterintuitive probability puzzles. In late January, Daniel Litt posed an innocent ...

The Binomial test, sometimes referred to as the Binomial exact test, is a test used in sampling statistics to assess whether a proportion of a binary variable is equal to some hypothesized value. In ...

The binomial probability is a widely-used concept in statistics, helping to answer questions about the likelihood of certain outcomes in an experiment or real-life situation. Essentially, it measures ...

Abstract: Predictive maintenance scheduling of modular-multilevel-converters (MMCs) requires estimations of the failure probabilities of MMCs during a period of time in the future. Particularly, the ...

Mathematics Department, Egerton University, Egerton, Kenya. Alternative methods for constructing confidence interval for p have been proposed, such as the Wilson Score, Clopper-Pearson and ...