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

-infinity<x<infinity

x> theta

f(x) = [itex] \frac{\lambda}{2}e^{-\lambda (x-\theta)} [/itex]

F(x) = [itex] \int_{-\infty}^x f(x) dx [/itex]

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

[itex] \int \frac{\lambda}{2}e^{-\lambda (x-\theta)} dx [/itex]

= [itex] -\frac{1}{2}e^{-\lambda(x-\theta)} [/itex]

Insert the limits:

[itex] -\frac{1}{2}e^{-\lambda(x-\theta)} + \frac{1}{2}e^{-\lambda(-\infty-\theta)} [/itex]

= infinity.

The last part should not be infinity so can anyone see where I go wrong?

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# Homework Help: Central Density Function

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