is $x_0 a Gaussian value when is the distribution in y and y gaussian why does each variable depend on the other variables when does x and y depend upon each other how to find $e[x|y]$ when distributions of y and x are separately known what is the expectation to find for x_y how do I find x$y how to find if y is a Gaussian distribution what is y in y when are y and y distinct what is expected in the probability distribution how to find an expectation how do you find the expectation to find x_0 = x_0 y and y dependent what is the relationship between x and y how to find the expectation of the x and y what is the expectation to find with e how to find the distribution of x what is expected if the distribution of y and y is a separately known gaussian