1. The problem statement, all variables and given/known data Let's say there are two machines, X and Y. X is connected to Y. * If X is turned on, Y turns on 50% of the time. * If Y turns on (through X being turned on) then it breaks 25% of the time. * Y won't break spontaneously and it can only be turned on through X. What is the joint probability distribution between Y turning on and Y breaking? Considering the set of times that X turns on, what is the mutual information between Y turning on and Y breaking (how many bits)? Thanks. 2. The attempt at a solution I'm not really sure how to start or how to make the joint probability distribution.