Lec04 - Discrete Probability Distributions Devore and Berk...

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Unformatted text preview: Discrete Probability Distributions Devore and Berk Chapter 3 What is a random variable? Used to help characterize the probability of events Defined as a function that maps sample space to real numbers And we can do mathematics on real numbers! Can be discrete or continuous Often represented by uppercase letters, so X random, x realized Example X = Gender of a randomly selected student from the class Can be either Male or Female, so the sample space is the set {Male, Female} An event: Female So, we select a student, and it is a Male, then x=Male Types of Random Variables Discrete Result from a single coin toss Number of heads from 12 coin tosses Sum of points from a throw of two dice Number of individuals in a fish population Continuous Length of a lifetime Distance between trees Probability Distribution A probability distribution describes how probability is distributed among possible values Fair coin: P(X=H)=1/2,P(X=T)=1/2 Flip coin, realization: x=H Die, one toss, P(X=4)=1/6 Toss die, realization: x=3 Script to explore probability of a single...
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Lec04 - Discrete Probability Distributions Devore and Berk...

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