## Stationary distribution

Problem

I have an intensity matrix for the Markov chain (X(t): t >= 0):

|-lambda 0 lambda|
|mu -(lambda+mu) lambda|
|0 mu -mu |

So then how do I find the stationary distribution of X and show that its mean is 5/4 when lambda=mu?

Really appreciate it if anyone can show me how to do it. Cheers.