Suppose you have a library with \(M\) items and you want to sort them by popularity. The parameters are \(M\) and \(\alpha\). The domain...
\(X\) is of a Poisson distribution if its pmf is \(p(x;\lambda)=\frac{e^{-\lambda}\lambda^{x}}{x!}\) where \(x\) is 0, 1, 2, etc....
The experiment requires: The trials be independent The outcome is binary (success or failure). The probability of success or failure is...
The hypergeometric experiment requires: The population is finite, with \(N\) individuals. The outcome of each trial is binary (success...
Bernoulli Distribution A Bernoulli random variable is one whose only possible values are 0 and 1. \(P(X=1)=p\) \(E[X]=p,V[X]=p(1-p)\)...
Random Variables A discrete random variable is one whose set of possible values is countable. Probability Distributions for Discrete...