STAT 400 Lecture Notes - Lecture 1: Sample Space, Sensitive High-Resolution Ion Microprobe, Bacon

• School: University of Maryland
• Department: Statistics and Probability
• Course: STAT 400
• Professor: Tim Pilachowski

Document Summary

Stat 400, section 2. 1 experiments, sample spaces, and events notes by tim pilachowski. We begin with probability, the realm of what could happen? and how likely is it to happen? . Along with counting the number of outcomes, we"ll be specifying the nature of those outcomes and (eventually) working out whether a particular outcome has a high or low chance of occurring. For a given situation, or experiment, observations are made and data is recorded. A sample space s must contain all possible outcomes for an experiment. The elements in a sample space are the outcomes of the experiment. Using a concept from set theory, the sample space is the universe u for a given experiment. In this case, we would say that the outcomes in a sample space must be mutually exclusive. An event (designated with a capital letter a, b, c, etc. ) is a subset of the sample space, and will incorporate one or more of the outcomes.