Given a certain time frame, values change. Just like at a point, just like at period of time, measures like elasticity, expected value change depend on the length of the time frame.
In statistical usage, the expected value is the equivalent of the average of a given number of numerical values. It would rather be curious to question whether for non-quantitative values, it would be possible to employ the use of expected value several situations.
In financial analysis, we employ the usage of E[X] to a certain extent. As for information, as we have discussed previously, could be treated as a numerical value.