### MCB112: Biological Data Analysis (Fall 2018)

# answers 05:

*Student's game night*

Daniel: Delves a bit more into some theory behind the problem, the central limit theorem, and the expected distribution of the sample standard deviation \(s^2\).

June: A thorough dissection of where we have an advantage over the pub -- including a bonus section at the end with 3D visualizations.

Sean: My version includes some background about the difference between a population standard deviation and a sample standard deviation, and what Python functions actually calculate; and a riff on the sordid history of betting on mis-estimated tail probabilities, the Black-Scholes equation for options pricing in mathematical finance, and a story a Bayesian statistician once told me about how he lost a bunch of money on an asymptotically sure thing.