The Infinite Mind – Jupiter Science
At jupiterscience.com, explore a universe of ideas where mathematics meets science — uncovering patterns, principles, and discoveries that expand the boundaries of understanding.
Multiplication Rule in Probability
The multiplication rule in probability is used to find the probability of the intersection of two or more independent event
Addition Rule in Probability
Addition Rule calculates the probability of one or more events occurring. For mutually exclusive events, add individual probabilities. For non-mutually exclusive events, add individual probabilities and subtract the probability of both events occurring.
Derive the Mean or Expected Value of Random Variable that has Poisson Distribution
Finding the Expected Value μ (mean) of Random Variable that has Poisson Distribution
λ (lambda) in Poisson distribution
In probability theory and statistics, λ (lambda) is a parameter used to represent the average rate or average number of events occurring in a fixed interval in the context of a Poisson distribution.
Derive the Second Moment of the Poisson Distribution
Derive the formula of Variance of the Poisson Distribution
What is Biology?
The realm of biology encompasses a diverse array of specialized domains, including molecular biology, genetics, microbiology, botany, zoology, ecology, and more.
From Kaṇāda to Rutherford: Tracing the Evolution of Atomic Theory
The evolution of atomic theory is a long and winding road that has been travelled by some of the greatest minds in history. It began with the ancient Indians in 600 BC who gave the concept of “Parmanu” to Greeks who first proposed that matter was made up of tiny, indivisible particles. The 19th and 20th centuries saw significant advances in our understanding of atoms.
Suppose the diameter of aerosol particles in a particular application is uniformly distributed between 2 and 6 nanometers. Find the probability that a randomly measured particle has diameter greater than 3 nanometers.
uniformly distributed aerosol particles between 2 and 6 nanometers
Chandrayaan-3: India’s Lunar Exploration Mission to Discover the Moon’s Composition
In 2008, India embarked on its first lunar exploration mission, Chandrayaan-1, marking a significant milestone in its space endeavors. Following the success of Chandrayaan-1 and the failure of Chandrayaan-2, India announced its plans for Chandrayaan-3, the country's...
Mastering Probability Theory: A Comprehensive Guide to Random Variable
Probability theory is a fascinating subject that has many applications in the real world. Understanding the basics of random variables and probability distributions is essential for anyone working in a field that deals with uncertainty. By mastering probability theory, you can make better decisions and improve your ability to analyze and interpret data.