rate is iid across the drivers so similarly you can work out what is the actual rate at which drivers enter there's some exogenous rate drivers will enter if their earnings you know desired kind of reservation earnings rate is is lower than what they think they're going to make in you know per unit time and so expected earnings divided by expected time okay you don't have to worry too much about the fact that the expected czar both the numerator and denominator here there's sort of a waltz identity argument that lets you do away with that