Which envelope should you choose?
A detailed solution for a problem about total probability
Math
This is my extended brain for math
Math, Probability and Statistics
Variance, Covariance, Autocovariance…what?
This article aims to distinguish between Variance, Covariance, Correlation, Autocovariance, and Autocorrelation. Furthermore there will be a numerical discrete example for computing the Autocorrelation in python. This article will not
Understanding the Probability Density Function of the Normal Distribution
A random variable $Z$ is said to have the standard normal distribution, if its probability density function (pdf) is as follows: \[\begin{equation}f_Z(z)=\frac{1}{\sqrt{2\pi}} * \exp(\frac{-z^2}{2}), \quad -\infty<z<\infty\end{equation} \tag{1}\label{eq:eq1} \] This formula
Math
Binomial Coefficient
Complement: You can either choose a team of k members from a group of n people, or you choose all the n-k people from the group, that are NOT in
Probability and Statistics
Stars and Bars Argument (Einstein-Bose) or placing n identical objects into n distinct bins, or drawing k times from n balls with replacement, order does not matter
https://brilliant.org/wiki/integer-equations-star-and-bars/ https://brilliant.org/wiki/identical-objects-into-distinct-bins/ So, the total number of objects consists of the number of balls or start or else plus the number of bins -1 (which is the number of bars