X is a continuous uniform (65,0) + 6) random variable, and Y is a continuous uniform (b, b + 6) random variables, where 6 > 0, e > 0, and cab 6 13.. (a) (2 marks) Find all possible pairs of numbers (5, e) for which X and Y are independent. (b) (3 marks) If X and Y are independent, describe the region R: {(531371) E R2 I fX,Y(x1y) > 0} geometrically. Justify your