Let u be a continuous uniform random variable on the interval (0, 1). we write u ∼ unif(0, 1). (a) for constants a and b such that 0 < a < b < 1, what is p(a ≤ u < b)? (b) let 0 < p < 1 be a fixed parameter. define a new random variable x as x = lnu ln(1 − p) . here, b·c is the floor function where bxc is the greatest integer that is less than or equal to x. find the distribution of x. (name it! )