The relationship between the number of prescriptions dispensed by individual pharmacy staff during a single workday and the probability of committing at least one ...

Abstract: A geometric model of a physical network affected by a disaster is proposed and analyzed using integral geometry (geometric probability). This analysis provides a theoretical method of ...

Geometric distribution probability mass function (PMF). The probability mass function (PMF) for a geometric random variable is where p is the success probability. The random variable X denotes the ...

Abstract: Monocular simultaneous localization and mapping (SLAM) has gained widespread popularity due to its numerous advantages. However, this approach is susceptible to appearance changes and often ...

Buffon's Needle Drop problem is among the first geometric probability problems in mathematics to be solved. It addresses the following question: Given a needle of length l dropped on a plane ruled ...

As he was brushing his teeth on the morning of July 17, 2014, Thomas Royen, a little-known retired German statistician, suddenly lit upon the proof of a famous conjecture at the intersection of ...

Consider randomly tossing a coin onto a square grid. What is the probability that when the coin is tossed, it falls entirely in one square without crossing any grid line? Assume that the diameter of ...