Respuesta :
Answer:
[tex]\left[\begin{array}{ccc}\dfrac{1}{2} &\dfrac{1}{2}\\\\\dfrac{1}{4}&\dfrac{3}{4}\end{array}\right][/tex]
Step-by-step explanation:
Let 1 = Sorey State, and 2 = C&T
Half the owners of Sorey State Boogie Boards became disenchanted with the product and switched to C&T Super Professional Boards the next surf season.
- This means half moved from State 1 to State 2.
Three quarters of the C&T Boogie Board users remained loyal to C&T, while the rest switched to Sorey State.
- The rest [tex](1-\frac{3}{4}= \frac{1}{4})[/tex] moved from State 2 to State 1.
The Markov Transition Matrix is presented below:
[tex]\left\begin{array}{ccc}\\\\\\$Sorey State&1\\\\C\&T&2\end{array}\right\left[\begin{array}{ccc}$Sorey State&C\&T\\1&2\\------&------\\\dfrac{1}{2} &\dfrac{1}{2}\\\\\dfrac{1}{4}&\dfrac{3}{4}\end{array}\right][/tex]
The above is presented for clarity sake. The transition matrix is:
[tex]\left[\begin{array}{ccc}\dfrac{1}{2} &\dfrac{1}{2}\\\\\dfrac{1}{4}&\dfrac{3}{4}\end{array}\right][/tex]
