- #1
Rijad Hadzic
- 321
- 20
Homework Statement
Consider the stochastic matrix P giving the probabilities of non-college educated households having at least one college educated child.
[itex]
\begin{pmatrix}
.9 & .25\\
.1 & .75 \\
\end{pmatrix}
[/itex]
If there are currently 300,000 college educated households, and 750000 noncollege educated households, in DFW, what is the predicted distribution in 10 generations?
Homework Equations
The Attempt at a Solution
so I have
P =
[itex]
\begin{pmatrix}
.9 & .25\\
.1 & .75 \\
\end{pmatrix}
[/itex]
and
x_0
[itex]
\begin{pmatrix}
300\\
750\\
\end{pmatrix}
[/itex]
So the predicted distribution in 10 generations will be P^9 * x_0, right? Not P^10 * x_0
Sorry I know its probably a simple question but I'm just trying to make sense of this.