What is E(X|sinX) and the Distribution of E(X-Y|2X-Y)?

[tennishaha]

1. If X is uniform distributed in (0,pi), what is E(X|sinX)?

2. Suppose X and Y are Gaussian random variables N(0,sigma_x) and N(0,sigma_y).
what is the distribution of E(X-Y|2X-Y)


Can anyone help?

thanks

 

[mathman]

Your notation is not standard - could you clarify exactly what you mean.