1. QUESTION 1.- LIKELIHOODS AND BINARY CLASSIFIERS [10] (1) Consider a conditional I.I.D. Bernoulli random variable: Y|X w Be(p} is with parameter p E [0, 1]. Given to observations y|x = y1|rh . . . , yn|1r of Y|X , derive the log likelihood function. [4] (2) Consider a Inulti-paranleter binary classication model: i' = f{X; 6'), with parameters 3 where Y|i' w BBC?) is I.I.D. Given n observations 37le = yl, . . . , yum\". Derive the log likelihood function. [4] (3} Write down a simple mathematical expression for the learned parameters using the log likelihood function. [2]