A random variable (Y(t)) defined on (R^{1}) is specified by the Pdf [ f_{Y}(t)=frac{1}{2} exp (-|t|) ]

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A random variable \(Y(t)\) defined on \(R^{1}\) is specified by the Pdf

\[ f_{Y}(t)=\frac{1}{2} \exp (-|t|) \]

Compute the characteristic function \(\theta(\zeta)\) and all statistical moments using \(\theta\).

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