Find f(t) and R(t) when the hazard rate function is exponential. That is, A(t) = aet , where a is a constant and a > O. This is one form of an extreme value distribution that has been used to model...

Find f(t) and R(t) when the hazard rate function is exponential. That is, A(t) = aet , where a is a constant and a > O. This is one form of an extreme value distribution that has been used to model wearout due to corrosion. It is also known as Gumbel's distribution.