Statistic modeling is a technique of presenting data or predicting outcomes that takes into account a certain degree of randomness or unpredictability. The stochastic process is often used to represent the evolution of some random value, or system, over time.
It is the probabilistic counterpart to a deterministic process.
Why
Gene expression is a stochastic process due to the inherent unpredictability of molecular collisions resulting from Brownian motion : the binding or unbinding of RNA polymerase to a promotor is partially random.
In biology systems, introducing stochastic noise has been found to help improve the signal strength of the internal feedback loops for balance and other vestibular communication.