SarahLi Posted September 6, 2014 Share Posted September 6, 2014 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 More sharing options...
studiot Posted September 6, 2014 Share Posted September 6, 2014 (edited) 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 September 6, 2014 by studiot Link to comment Share on other sites More sharing options...
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