# Probability of flow of electric current.

• May 28th 2011, 05:27 AM
KamilJ
Probability of flow of electric current.
Given failure intensities: $\lambda_1=\lambda_2=0.05, \; \lambda_2=\lambda_3=\lambda_4=\lambda_5=0.08, \; \lambda_6=\lambda_7=0.0178$ (nominal state). After burnout of any element intensity of electric current in other $i$-th element increases $n_i$ times and failure intensity increases $n_i^2$ times ( $\lambda_i \leftarrow n_i^2 \cdot \lambda_i$). Find algorithm (description) of computing probability that current will flow through the system at any given time $T>0$.

Probability (at nominal state) that $i$-th will not burnout before $t\ge 0$ is $e^{-\lambda_i t}$.

Does anybody have any idea?

http://i51.tinypic.com/2hqc8bt.png

I'm having a problem determining the probability of $\lambda_2$