Q136·Section III (Statistics)·136 of 145The two-state chain's limit is (β,α)/(α+β)\bigl(\beta,\alpha\bigr)/(\alpha+\beta)(β,α)/(α+β)Let {Xn}\{X_n\}{Xn} be a MC on {0,1}\{0,1\}{0,1} with TPM P=(1−αα β1−β)P=\begin{pmatrix}1-\alpha&\alpha\ \beta&1-\beta\end{pmatrix}P=(1−αα β1−β), 0<α<10<\alpha<10<α<1, 0<β<10<\beta<10<β<1. Then limn→∞P11(n)\lim_{n\to\infty}P^{(n)}_{11}limn→∞P11(n) is: OptionsAαα+β\dfrac\alpha{\alpha+\beta}α+βαBβα+β\dfrac\beta{\alpha+\beta}α+ββCαβα+β\dfrac{\alpha\beta}{\alpha+\beta}α+βαβD1α+β\dfrac1{\alpha+\beta}α+β1Pick an option to check your answer.Show answerShow solution Report a problem with this question← Q135All questionsQ137 →Keyboard: A–D answer · S solution · ←/→ previous/next