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notes 18

notes 18 - Probability Distributions Discrete Random...

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Probability Distributions: Discrete Random Variables Submitted by gfj100 on Wed, 11/11/2009 - 10:39 For a discrete random variable, its probability distribution (also called the probability distribution function) is any table, graph, or formula that gives each possible value and the probability of that value. Note : The total of all probabilities across the distribution must be 1, and each individual probability must be between 0 and 1, inclusive. Examples: (1) Probability Distribution for Number of Heads in 4 Flips of a coin Heads 0 1 2 3 4 Probability 1/16 4/16 6/16 4/16 1/16 This could be found be listing all 16 possible sequences of heads and tails for four flips, and then counting how many sequences there are for each possible number of heads. (2) Probability Distribution for number of tattoos each student has in a population of students Tattoos 0 1 2 3 4 Probability 0.850 0.120 0.015 0.010 0.005 This could be found be doing a census of a large student population. Cumulative Probabilities

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