Statistical Sciences 2244A/B Chapter Notes - Chapter 9-10: Sample Space, Probability Distribution, Random Variable
21 Sep 2016
School
Department
Professor
Document Summary
Random samples: eliminate bias from the act of choosing a sample but variability when choosing randomly can still cause inaccurate results. Chance behaviour is unpredictable in the short run but has a regular and predictable pattern in the long run: regular pattern when you choose and srs multiple times, or toss a coin multiple times. Random: if an individual outcomes are uncertain but there is nonetheless a regular distribution of outcomes in a large number of repetitions: probability describes what will happen in the long run. Frequentist approach: rely on relative frequencies of a particular outcome among very many observations. A sample space of male or female of s= {m,f} Probability rules: any probability is between 0 and 1 inclusively, all possible outcomes together must have a probability of 1: = 1: if two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities.
