Solution
= Solution
If $\lambda P=\lambda$, induction gives $\lambda P^n=\lambda$ for every $n\geq0$. Part (c) then makes the distribution of every $X_n$ equal to $\lambda$. Such a probability row vector is a <stationary distribution>.
= Solution
If $\lambda P=\lambda$, induction gives $\lambda P^n=\lambda$ for every $n\geq0$. Part (c) then makes the distribution of every $X_n$ equal to $\lambda$. Such a probability row vector is a <stationary distribution>.