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Let X be a discrete random variable that takes on two values -1 and.pdf

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Let X be a discrete random variable that takes on two values: -1 and 1. Is it possible to have E(X)=0.5? Yes or no? Either way, give a detailed answer. Solution It is possible. Say, X takes -1 with probability 1/4 and 1 with probability 3/4 then E(X)=-1/4 +3/4 = 1/2.

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Let X be a discrete random variable that takes on two values: -1 and 1. Is it possible to have E(X)=0.5? Yes or no? Either way, give a detailed answer. Solution It is possible. Say, X takes -1 with probability 1/4 and 1 with probability 3/4 then E(X)=-1/4 +3/4 = 1/2

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