# Statistics

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## Pascal, Fermat and the Birth of Probability

Learn more about the beginnings of probability when Pascal and Fermat teamed up to solve a problem involving dice.

## Common Maclaurin Series

See formulas for some of the most common Maclaurin Series

## What Are Maclaurin Series?

Maclaurin Series use the derivatives of a function as coefficients in a power series. They can be used for a number of applications.

## Use of the Moment Generating Function for the Binomial Distribution

See how to use the moment generating function to calculate the mean and variance of a binomial distribution.

## What Is the Moment Generating Function of a Random Variable?

The moment generating function of a random variable is related to a particular expected value.

## Luca Pacioli and the Beginnings of Probability

One of the origins of probability stems from when Luca Pacioli posed a mathematical question regarding a game of chance.

## What Is the Geometric Series Test?

There is an easy test to determine if a geometric series converges. We also see a formula for determining the value of a convergent geometric series.

## What Are Absolutely and Conditionally Convergent Series?

There are two types of convergence. Find out the difference between absolutely and conditionally convergent series.

## Proof that the Harmonic Series Diverges

The harmonic series is counterintuitive in that it diverges although its terms seem to decrease quickly enough for the series to diverge. See a proof of why this series diverges.

## What Is the P-Series Convergence Test?

There are a number of convergence tests when working with infinite series. A simple one of these tests is used for a p-series.

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