BIOL499A Chapter Notes - Chapter 14-16: Sample Space, Black Cards, Face Card

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Probability distribution of a discrete random variable, Expected value or mean of a discrete random variable. Definition: a probability experiment is any action for which an outcome cannot be predicted with certainty. Toss a coin: h = head or t = tail. Flip a die: 1, 2, 3, 4, 5, 6. 20 the following probability the sample space for. Definition: the set of all possible outcomes is called the sample space. Example 1: find experiments: (a) toss a coin: s={h,t} (b) flip a die: s={1,2,3,4,5,6} (c) toss a coin twice: S={(h,h), (h,t), (t,h), (t,t)} ={hh,ht,th,tt} (d) flip a die twice: (1,1), (1,2),(1,3), (1,4),(1,5), (1,6) (2,1),(2,2),(2,3),(2,4),(2,5),(2,6) (6,1),(6,2),(6,3),(6,4),(6,5),(6,6) S (e) toss a coin until we get a head: Definition: an event is a subset of outcomes from the sample space. An individual outcome from the sample space is called a simple event or an elementary event. e. g. : flip a die: s = {1,2,3,4,5,6}

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