(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

f(x)=gamma*e^(-gamma*x)

E(X)=1/gamma

Var(X)=1/gamma^2

3. 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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# Homework Help: Exponential distribution

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