See the picture below.

Problem 3 (3 points) Consider a classification problem for (Y, X), where Y is a binary random variable taking values in C = {0, 1}. We assume that the binary random variable Y given X is generated in the following way. Let Y = I(2X - E > 0), where I(.) is the indicator function, & ~ Uniform[0, 1] and & is independent of X. (Hint: the c.d.f of a uniform distribution on [0, 1] is P(E