Template:Alta exponential reliability function

The Reliability Function
The 1-parameter exponential reliability function is given by:


 * $$R(T)={{e}^{-\lambda T}}={{e}^{-\tfrac{T}{m}}}$$

This function is the complement of the exponential cumulative distribution function, or:


 * $$R(T)=1-Q(T)=1-\int_{0}^{T}f(T)dT$$

and:


 * $$R(T)=1-\int_{0}^{T}\lambda {{e}^{-\lambda T}}dT={{e}^{-\lambda T}}$$