Homework Help Overview
The discussion revolves around the covariance of two random variables, X and Y, where X is uniformly distributed between -1 and 1, and Y is defined as the square of X. Participants are exploring the possibility of determining the covariance, cov(X, Y), and the expected value E[XY].
Discussion Character
- Exploratory, Conceptual clarification, Mathematical reasoning
Approaches and Questions Raised
- Participants are considering the relationship between Y and X, particularly how Y can be expressed in terms of X. There are questions about how to compute E[XY] and whether it can be simplified using the definition of Y.
Discussion Status
Some participants have suggested substituting Y with X^2 in the equations, indicating a potential direction for simplifying the problem. However, there is still uncertainty about the implications of this substitution and how it affects the calculation of expected values.
Contextual Notes
There is an ongoing discussion about the definitions and relationships between the variables, particularly regarding the distributions and the nature of Y as a function of X. The original poster's attempt at a solution indicates a need for further clarification on the integration process involved in finding E[XY].