Question: A robotics engineer is testing a robot that moves on a grid, making exactly 8 steps from the origin $(0,0)$ to some point $(x,y)$, with each step either increasing $x$ by 1 or $y$ by 1. The robot must end at a point where $x + y = 8$, $x \geq 3$, and output $x$ if $x \geq 4$, or $y$ if $x < 4$. What is the expected value of the output? - Portal da Acústica