Question: Let (F_{0}(t)=1-e^{-lambda t}) , where (lambda) >0. a.) show that (S_{x}t=e^{-lambda t}) b.) show that (mu_{x}=lambda) c.) show that (e_{x}=(e^{lambda}-1)^{-1}) d.) What conclusions do you
Let \(F_{0}(t)=1-e^{-\lambda t}\) , where \(\lambda\) >0.
a.) show that \(S_{x}t=e^{-\lambda t}\)
b.) show that \(\mu_{x}=\lambda\)
c.) show that \(e_{x}=(e^{\lambda}-1)^{-1}\)
d.) What conclusions do you draw about using this lifetime distribution to model human mortality?
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