Understanding Conditional Expectation: Iterated Expectation,Adam's Law, and Eve's Law

The Variation in the River Stats [Conditional expectation
animation, with Adam's law and Eve's law]

[@user-wr4yl7tx3w]

Are we making some assumption about probabilities for 'between cities'?

[@davidsarpong4233]

I understood it with 2D Lotus but it can also be understood just like how the law of total probability works. Nice

[@user-wr4yl7tx3w]

can some one post the math for the calculations here. it's not clear how he got the 1400.

[@michieladams7958]

E(Y|X) is the mean of each town 160, 190 and 250, then Var(E(Y|X)) is a measure of how these three means vary with respect to the overall mean (200). Using the formula for the variance: (1/n)*Sum[(Xi - Xbar)^2] will give you the answer (1400)

[@Ev32R]

EV VE

[@lordlyamiga]

Accent