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 ...

In this article, we will use linearity to handle the "bag of balls problem," which frequently appears in entrance exam probability questions. We will find the expected value of the number of red balls ...

Abstract: The probability of missed detection (PMD) is a crucial metric for characterizing the integrity performance of receiver autonomous integrity monitoring (RAIM). The time consumption of the ...

I am a 51-year-old guy who quit my job at a construction and environmental consulting firm this April and came to Malaysia with my children. It has been a little over half a year since I came to ...

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 ...

Where \(X\) is a normally distributed random variable with mean \(\mu\) and standard deviation \(\sigma\). The peak of the curve occurs at \(x=\mu\), and the spread ...

Summary: A massive study of over 58,000 women shows that families may have their own subtle biological bias toward having boys or girls, rather than offspring sex being purely random. Researchers ...

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 ...

Flat prior (not usually recommended); Super-vague but proper prior: normal(0, 1e6) (not usually recommended); Weakly informative prior, very weak: normal(0, 10); Generic weakly informative prior: ...

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 ...