f(u, v) = C, 0Su2 +v

Find the probability that its distance from the origin is less than x, 0 a; 1. 3. Two continucms random variables X and Y are described by the pdf k, fxy(, Y) 0, where k is a constant. a) Find k. b) Are X and Y independent? c) Are X and Y uncorrelated? otherwise (Reminder: Two random variables X and Y are uncorrelated if E(XY) = 4. Cauchy-Schwartz Inequality: Prove the following inequality: