SOCY 211 Lecture Notes - Lecture 5: Bernoulli Trial, Binomial Coefficient, Binomial Distribution

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Calculating probabilities and events: the rules. A polygraph test 70% chance of detecting lie, only 50% chance of honest: 80% people tell the truth. Case study: a winning combination: 3 trips 40 passengers, 120 passengers, p(a) probability that at least 2 people share the same birthday, p(not a)=1-p(a, first person p(1) 365/365. Random trial: any process with multiple outcomes, but whose result on a particular trial cannot be predicted. Sample space: is the space or list of all possible outcomes for a random trial. Event: any subset of the sample space. ex. flipping a coin, looking for heads. Probability: the frequency of an event"s occurrence. Law of large numbers: if we repeat the random trial a large number of times, in the end we will know the the probability is going to be: 4. 2 probability distributions. Random variable: variable with a random outcome. Can be sample space or a function of the sample space. ex.

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