by rahul_tech@outlook.com | Sep 30, 2024 | CALCULUS, CBSE CLASS 10 CHEMISTRY, COMPUTER SCIENCE, DIFFERENTIATION, ELECTRONICS, ESSAYS, GENERAL KNOWLEDGE, INFO, LIMITS, MATHEMATICAL TERMS, MATHEMATICS, PHYSICS, PHYSICS NUMERICALS, PROBABILITY, PROBLEMS IN MATHEMATICS, RELATIONS & FUNCTIONS, SCIENCE LIFE, SETS, SHORT NOTES, TRIGONOMETRY
[ez-toc] TheCBSE Board Exams 2025loom large, a pivotal moment in the academic lives of countless students across India. This comprehensive guide aims to equip you with the strategies, knowledge, and confidence to not only navigate these exams but to truly excel. The...
by Rahul Anand | Jul 19, 2023 | PROBABILITY
Derive the Mean or Expected Value of Random Variable that has Poisson Distribution or Prove that for Poisson Distribution, \( μ = E(X) = λ \) We have \( P(X=k) = λ^{k} . \dfrac{e^{-λ}}{k!} \) for k = 0,1,2,… We now derive the Expected Value(μ) of Poisson Distribution...
by Rahul Anand | Jul 19, 2023 | PROBABILITY
In probability theory and statistics, λ (lambda) is a parameter that represents the average rate or average number of events occurring in a fixed interval in a Poisson distribution. In the context of the Poisson distribution, λ determines the shape and characteristics...
by Rahul Anand | Jul 19, 2023 | PROBABILITY
Computation of the Second Moment of Poisson Distribution or in other words, Prove that for Poisson Distribution, the second moment is given by \( E(X^2) = λ(λ+1) \) For Poisson Distribution, we have \( P(X=k) = λ^{k} . \dfrac{e^{-λ}}{k!} \) for k = 0,1,2,… We...
by Rahul Anand | Jul 14, 2023 | PROBLEMS IN MATHEMATICS
In this problem, the diameter of the aerosol particles is a continuous random variable that is uniformly distributed between 2 and 6 nanometers. This means that all values between 2 and 6 are equally likely. In this situation, our Random Variable X is a Uniform...
