Ernie Walker of the Mathematics Department will speak on “Order Statistics, Pascal’s Triangle, and the Pennsylvania Lottery” on Thursday, April 14, 2011, from 3:30 to 4:30 p.m. in Stright Hall, room 202.

## Abstract

The minimum and maximum values in a random sample are two of the descriptive statistics reported by many types of statistical software. These are examples of *order statistics*.

In this talk, I will introduce some basic calculations involving order statistics for a continuous random variable, and then I will turn my attention to the Super 6, a defunct Pennsylvania Lottery game, and present an analysis of order statistics in the context of this game. As a part of this discussion, we will employ some inductive reasoning by examining patterns in Pascal’s Triangle, and then we will use math induction to prove our conjectures.