STAT W21 Lecture Notes - Lecture 19: Standard Deviation, Sampling Distribution, Probability Distribution
Document Summary
Box model: experiments that are modeled by a probabilistically equivalent problem involving. Any box of numbered tickets for which the number on each ticket is 0 or 1 is a 0-1 box drawing tickets at random from a box. Sample sum: the sum of the numbers on the tickets drawn at random. Measure of how scattered the values of the sample sum tend to be in repeated experiments. Long-run average value of the sample sum in repeated experiments. Ave(box): mean of the numbers on the tickets in the population box. Law of large numbers: the relative frequency with which an event occurs in repeated, independent trials is increasingly likely to be close to the probability of the event in repeated trails. We can estimate the probability of an event by the relative frequency of its occurrence. Probability histogram: the area of each bin converges to the probability that the sample sum in.
