Question 1: (10 marks) Let X1 and X2 be iid with mean p: and variance 0'2. Also let 1\" = :1er + (1 cu)X2 and W = ,6 + (1 + ,8)Y, where cu and ,9 are constant which takes on values between C! and 1. Find the correlation between Y and X13, and the correlation between Y and W