(a) A random voltage (v(t)) has an exponential distribution function (f_{V}(v)=a exp {-a v}), where ((a>0) ;(0...

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(a) A random voltage \(v(t)\) has an exponential distribution function \(f_{V}(v)=a \exp \{-a v\}\), where \((a>0) ;(0 \leq v<\infty)\). The expected value \(E[V]=0.5\). Determine \(\operatorname{Pr}\{V>0.5\}\).

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