Wednesday, December 13, 2006

My Behavior

My behavior is a Exponential Random Variable (RV) defined as follows:

Expected Value (EV) = Normal
Standard Deviation (from EV) = Very High

which implies that probability of my behavior being Normal is very low.

But on a spread spectrum of time, I am Normal. This fact follows from the Central Limit Theorem if given random variable is taken as sum of independent identically distributed RVs which converge to "Normal" Distribution as time approaches infinity.

From the memoryless property of the Exponential RV, my behavior can not be predicted.