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 16, 2023 | BIOLOGY
Biology constitutes a scientific domain encompassing the scrutiny and elucidation of living entities, delving into their morphological configuration, functional capacity, ontogenetic maturation, phylogenetic advancement, and biogeographical dispersion. It spans an...
by Rahul Anand | Jul 15, 2023 | CHEMISTRY, INFO
Table of Contents 1. Introduction to Atomic Theory2. Maharishi Kanada’s Atomic Theory3. Democritus’ Atomic Theory4. Aristotle’s Rejection of Atomic Theory5. John Dalton’s Atomic Theory6. J.J. Thomson’s Discovery of the Electron7. Ernest...
