3 x 2.7 is the same as 3 x 3 x 0.9 = 9 x 0.9 = 8.1
Answer:
The steady state proportion for the U (uninvolved) fraction is 0.4.
Step-by-step explanation:
This can be modeled as a Markov chain, with two states:
U: uninvolved
M: matched
The transitions probability matrix is:

The steady state is that satisfies this product of matrixs:
![[\pi] \cdot [P]=[\pi]](https://tex.z-dn.net/?f=%5B%5Cpi%5D%20%5Ccdot%20%5BP%5D%3D%5B%5Cpi%5D)
being π the matrix of steady-state proportions and P the transition matrix.
If we multiply, we have:

Now we have to solve this equations

We choose one of the equations and solve:

Then, the steady state proportion for the U (uninvolved) fraction is 0.4.
You are permitted to give up to $13,000 each year to any individual
without acquiring gift tax liability. So, Barry and Mary each can gift $13,000
to anyone of their choosing. For eight recipients (3 children and 5
grandchildren), each can gift $104,000. Consequently, Barry and Mary can offer
$208,000 ($104,000 x 2) to their children and grandchildren in 2013.
In the limbs, flexion decreases the angle between the bones (bending of the joint), while extension increases the angle and straightens the joint.