STAT 3005 Lecture Notes - Lecture 5: Weather Forecasting, Fair Coin, Randomness
Document Summary
Weather forecasting: question: suppose a family has four children. Random phenomenon refers to an event for which the outcome is a priori (beforehand) unknown: example: amount of emails one will receive today, an election, or the weather. Notation for a random event in question: capital letter (x or y) Notation for an observed event: lowercase letter (x or y) Probability refers to the methodology that quantifies the likelihood of outcomes for random phenomena (the long-run proportion of times the outcome of interest would occur for a particular event). Many times, the same random event is repeated over and over again to look at the long-run proportion. Trials are a set of repetitions of the same random event n times, where. Law of large numbers (lln): as n increases for independent trials, we n is the sample size. Hh th tt th ht th hh tt ht hh. Writing out the sequence of events for trials is lengthy.