Probability and Simulations

“Probability is the tool used for anticipating what the distribution of data should look like under a given model. Random phenomena are not haphazard: they display an order that emerges only in the long run and is described by a distribution. The mathematical description of variation is central to statistics. The probability required for statistical inference is not primarily axiomatic or combinatorial but is oriented toward using probability distributions to describe data.”

– from CollegeBoard Website

Probability Rules

 

Simulation

Random Number Generators

  • random.org has a nice collection of random number generators.

Binomial Distribution

Geometric Distribution

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