3. (Logistic Regression) Consider a logistic regression model used to predict the probability of an event occuring Y=1 based on a single predictor variable X. The logistio model is given by: P(Y=1X)=1+e2+1Xek+1X, where 0,1 are the model coefficients. Suppose 0=2,1=0.5. (a) (A') Calculate the probability that Y=0 for X=2. (b) (4) Provide a bricf interpretation of what 1=0.5 indicates about the relationship between X and the probability of Y=1. (Namely, when X is bigger/smaller, does it incrense/decrease the probability of Y=1.)