# Week 5 β Probability

## Lecture (Monday, April 25th) π¨βπ«

## Readings π

- Fermat and Pascal on Probability: skim, but read
- Wikipedia, Lady tasting tea
- Stahl, The Evolution of the Normal Distribution, Pages 105-106
- YouTube: Normal distributionβs probability density function derived in 5min
- Rosenfeld, History of Probability (Part 3) - Jacob Bernoulli (1654-1705) β Law of Large Numbers

Optional:

- Sheynin, Theory of Probability. A Historical Essay: very detailed, but contains lots of interesting tidbits
- YouTube: Can You Solve The Problem That Inspired Probability Theory?: another explanation of the Problem of Points
- Cherowitzo, The Problem of Points slides
- YouTube: This DERIVATION of the BELL CURVE will SHOCK you!!!: another, much longer derivation of the normal distribution
- YouTube: Integral of exp(-x^2): watch if you want to see a proof that \(\int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi}\), using techniques from Math 20C

## Homework 5 (due Sunday, May 1st at 11:59PM) π

Click here to access the homework on DataHub.

Click here to access the solutions.