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Probability And Random
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Review of Probability Theory - Stanford University
cs229.stanford.edu2.2 Probability mass functions When a random variable Xtakes on a finite set of possible values (i.e., Xis a discrete random variable), a simpler way to represent the probability measure associated with a random variable is to directly specify the probability of each value that the random variable can assume. In particular,
Calculating Expected Value
math.msu.edu1 7 Expected Value, E(X), of a Random Variable X Start with an Experiment. List the Outcomes: O1, O2, …On With each outcome is associated a probability: p1, p2, …, pn and a value of the random variable, X, : X1, X2, …, Xn The expected value of the random variable X is, by definition: E(X) = p(O1)X1 + p(O2)X2 +p(O3)X3 + …. +p(On)Xn The expected value is often …