K=18, m=9, n=1

In the problems below, please use the following: as k - the sum of digits in your student's number; as m - the largest digit in your student's number; and as n - the smallest digit in your student's number plus 1. Please write down the solutions (transformations, substitutions etc.), and additionally provide the final answer in the space specified (the answer should be a number in decimal notation, rounded to four digits). 24. A random vector (X, Y ) has a distribution with density 9(x, y) - Vkm 1 exp mx-+ 2xy + ky? 2 Find a E R such that X + Y and X + aY are independent. Hint: Recall the properties of multidimensional normal random vectors. ANSWER: Solution