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Expected Value of Exponential CDF

I am given the following CDF and I want to calculate its expected value: $F(Y \leq y) =1-( 0.28e^{-0.5y} + 0.71e^{-0.25y})$ Creating the PDF: $f(Y \leq y) = \frac{71\mathrm{e}^{-\frac{x}{4}}+56\mathrm{...
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