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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 
.
That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If
which means
Further explanation
There are general rules used in rounding numbers
1. Determine the rounded digit
2. Pay attention to the digits afterward (right). If the digit shows the numbers 0, 1, 2, 3 or 4, then the digit to be rounded is fixed, and the digit on the right is 0 all
3. If the digit on the right shows the numbers 5, 6, 7, 8 or 9, then the digit to be rounded is added to one, and the digit on the right side is made all 0
In rounding the nearest hundreds number, then we see the digit in the number tens (right of the digit hundreds), if it is worth 0, 1, 2, 3 or 4, then it remains, but if it shows numbers 5, 6, 7, 8 or 9, then the digit to be rounded is added one, and the right-hand side is 0
Calculated from the decimal point, the place on the right represents tents, hundredths, thousandths, etc.
a. 32.697
Decomposition
ten : 3
one : 2
tenth : 6
hundredth : 9
thousandths : 7
For the tenth number is 6, the value on the right is 9 then rounded become 32.7
For the hundredth number is 9, the value on the right is 7 then rounded become 32.70
for the one number is 2 , the value on the right is 6 then rounded become 33
b. 141.999
Decomposition
hundred : 1
ten : 4
one : 1
tenth : 9
hundredth : 9
thousandths : 9
a. For the tenth number is 9, the value on the right is 9 then rounded become 142.0
For the hundredth number is 9, the value on the right is 9 then rounded become 142.00
For the ten number is 4, the value on the right is 1 then rounded become
14
For the ten number is 1, the value on the right is 4 then rounded become
142
<h3>Learn more </h3>five numbers that are round up and round down to 600
all the numbers that round to 50
round 4,398,202 to the nearest 100
Round number 4278649 to nearest 100
Keywords: round up, round down, the rounded digit
