Which of the following is a transition probability matrix? (a) \( \b

1.	Which of the following is a transition probability matrix? (a) \( \begin{pmatrix} 0.36 & 0.6 \\ 0.15 & 0.85 \\ \end{pmatrix} \)(b) \( \begin{pmatrix} 0.9 & 0.075 & 0.025 \\ 0.15 & 0.8 & 0.05 \\ 0.25&0.25&0.5 \end{pmatrix} \)(c) \( \begin{pmatrix} 1 & 0.2 \\ 0.3 & 0.25 \\ \end{pmatrix} \) (d) \( \begin{pmatrix} 0.35 & 0.6 \\ 0.2 & 0.7 \\ \end{pmatrix} \)(i) only a(ii) only b (iii) both c and d (iv) both a and b
Answer» (iv) both a and b Sum of all the probabilities should be equal to one

Which of the following is a transition probability matrix? (a) \( \begin{pmatrix} 0.36 & 0.6 \\ 0.15 & 0.85 \\ \end{pmatrix} \)(b) \( \begin{pmatrix} 0.9 & 0.075 & 0.025 \\ 0.15 & 0.8 & 0.05 \\ 0.25&0.25&0.5 \end{pmatrix} \)(c) \( \begin{pmatrix} 1 & 0.2 \\ 0.3 & 0.25 \\ \end{pmatrix} \) (d) \( \begin{pmatrix} 0.35 & 0.6 \\ 0.2 & 0.7 \\ \end{pmatrix} \)(i) only a(ii) only b (iii) both c and d (iv) both a and b

Answer»

(iv) both a and b

Sum of all the probabilities should be equal to one