STAT 101 Lecture Notes - Lecture 7: Sample Space, Set Notation, Data Center
Document Summary
Stat 101 - introduction to business statistics - lecture 7: intro to probability. Set-up: there is an event about which, we"d like to make a probability statement. For instance, a manufacturer is producing silicon wafers. For each wafer made, define the outcome of an inspection as either y if there is a defect or n if there is no problem. Calculate the proportion of ys in increasingly long sequences of observations. Call pn the proportion of ys in the first n observations. For example, in the first 5 observations p5 = 0. 2 because there is one y. The law of large numbers guarantees this limit exists, under certain conditions. The conditions being that each observation is being governed by the same random process. The sample space, denoted as s , is the set of all possible outcomes of an experiment. Ex) the sample space for experiment of rolling a single die once is s = {1,2,3,4,5,6}.
