What is example of two identically distributed random variables so $$\\ E\left(\frac XY\right) \neq E\left(\frac YX\right) $$ I know they have to be dependent, but I still don't have any idea.
2026-04-24 03:36:31.1777001791
Expected value of quotient of identically distributed random variables
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How about $(X,Y)=(1,2)$ or $(2,3)$ or $(3,1)$ each with probability $\frac13$?