STATS 10 Study Guide - Midterm Guide: Mutual Exclusivity, Central Limit Theorem, Unimodality
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Theoretic probability: probabilities calculated from mathematical rules: p(a or b) = p(a) + p(b) p(a and b) Empirical probability: estimate of probability by using evidence doing experimental trials: useful whe(cid:374) for(cid:373)ulas do(cid:374)"t exist. Mutually exclusive events: if two events are mutually exclusive, then p(a and b) = 0. Random variable: perform random trial and outcome is a number. Discrete random variable: only certain outcomes are possible. Continuous random variable: all values in between are equally likely. Probability distribution: way to show how likely or unlikely certain outcomes are. Normal distribution: curve tallest near middle, curve shorter at ends: mean = 0; sd = 1. Standard normal distribution (z): table gives area to left of z: z = (x mean)/sd, percentile questions: if 95th percentile, means area = . 95 left of z-score. Binomial distribution: repeat same random experiment a number of times, each trial independent, has 2 possi(cid:271)le out(cid:272)o(cid:373)es (cid:894)su(cid:272)(cid:272)ess or failure(cid:895), order does(cid:374)"t (cid:373)atter, ex.
