A researcher fit the following logistic model P(Y=1) = E(Y) = exp(X)/(1 + exp(X) ) to the

A researcher fit the following logistic model P(Y=1) = E(Y) = exp(βX)/(1 + exp(βX) ) to the data (n=4): (X,Y) =(0,0), (0.1,1), (1,1), (10,1) Based on the experimental application, there are only two possible values for β, 0 or 1. Find the maximum likelihood estimator for β.