Q3. Let Y be a binary variable taking on the value 0 or 1. Probit model has been estimated using a random sample of 100 observations to obtain the following estimation result. I' = 1.0 + 0.5X - 0.2Z n = 100, Log likelihood =-10.0, Log likelihood of intercept-only model = -12.0 Prediction Success Table Predicted Y = 1 Predicted Y = 0 Actual Y = 1 50 20 Actual Y = 0 10 20 (5 marks each, 10 marks in total) (1) What is the predicted probability of Y being 1 if X = 5 and Z = 10? (2) What is the effect of a marginal increase in X, while Z is fixed, on the probability of Y being 1 when X = 5 and Z = 10