All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.
That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If 

 is the component for state 

, then you have

which means 

. So the state vector is 

.
 
        
        
        
Answer:
   A.  no, not independent
Step-by-step explanation:
Let A = "father born in Michigan" and B = "mother born in Michigan".
If A and B are independent, then ...
   P(A|B) = P(A)
The table tells us ...
   P(A|B) = P(A&B)/P(B) = 0.29/0.73 ≈ 0.397
and
   P(A) = 0.48
Since 0.48 ≠ 0.397, we must conclude that the events are not independent.
 
        
             
        
        
        
 9*8*7*6*5*4 = 60480. Hope this helps !!!!!!!!!!!!!!!!!!!1
        
             
        
        
        
Answer:
4.969696 hours 
Step-by-step explanation:
The distance traveled is shown through the following equations
Distance = velocity * time
This means that 
4100=velocity*4
This means that ariplane 1 travles at 1025 km/hr
We can then subtract 200 from this to find that airplane two travels at a speed of 825 km/hr
Now we need to find how long it takes for that plane to travel 4100
So using the same equation
4100=825*time
Divison will tell us that the answer is around 4.9696 hours which is pretty much 5