Consider a categorical response Y which takes possible values 0 and 1 as well as a single numerical predictor X. Recall that p(x) = P(Y = 1|X = z). Consider the model and estimated coefficients . = 2 8-1 log ( P(x)) = = 30 + 31x (a) Provide a classification when x = 2.5 that attempts to minimize the classification error. (b) Calculate an estimate of P(Y = 1|X = 1). (c) Calculate an estimate of P(Y=0|X = 2.5). (d) Find a value c that splits x into regions classified as 1 and 0.