The equivalent fractions for 3/4

FractionEquivalent Fractions

3/46/89/12

1/52/103/15

2/54/106/15

3/56/109/15

Step-by-step explanation:

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 .