Jump to content

Exponential Distribution


SarahLi

Recommended Posts

Hey Everyone,

 

What does it mean if the processing time of a certain job instance is generated according to an exponential distribution with a certain mean? I already know the mean so what does it add to know its distribution and how can I use it?

 

Regards,

Link to comment
Share on other sites

Well this is a continuous distribution of the probability density function p(x) for x>0 (it is zero for x<0)

 

[math]p(x) = \lambda {e^{ - \lambda x}}[/math] :x > 0:lambda > 0

It has one parameter, lambda which is positive.

 

The mean is given by

[math]Mean = \frac{1}{\lambda }[/math]

and the variance by

[math]Variance = \frac{1}{{{\lambda ^2}}}[/math]

 

As you can see, the probability falls with increasing x so you might use this distribution to model say your chances of living x years beyond 100 years of age.

Edited by studiot
Link to comment
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now
×
×
  • Create New...

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.