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roadrunner
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Homework Statement
component has lifetime X that is exponentialy distibuted with parameter gamma.
a) if the cost per unit time is a constant, c, what is the expectec cost of its lifetime?
b) if c is not constant, and=c(1-.5e^(a*x) such that a<0. (aka it costs more over time) what is its cost inrespect to its lifetime?
Homework Equations
f(x)=gamma*e^(-gamma*x)
E(X)=1/gamma
Var(X)=1/gamma^2
The Attempt at a Solution
i thitnk its just
a) c/gamma
b) (c(1-.5e^(ax)))/gamma
but that seems to easy...
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