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Distributionshard
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Consider a random variable XXX with PDF f(x)=12e−∣x∣f(x) = \frac{1}{2} e^{-|x|}f(x)=21​e−∣x∣. What is the characteristic function ϕ(t)=E[eitX]\phi(t) = E[e^{itX}]ϕ(t)=E[eitX]?