3. (10 points) Suppose X has a Pareto distribution with a = 2 and 0 = 1000 and Y has a loglogistic distribution with parameters y = rand 0 = 1000. Using the ratio of distribution functions, for what values of r is (a) Y heavier tailed than X? (b) y lighter tailed than X? (c) X and Y have similar tails? 3. (10 points) Suppose X has a Pareto distribution with a = 2 and 0 = 1000 and Y has a loglogistic distribution with parameters y = rand 0 = 1000. Using the ratio of distribution functions, for what values of r is (a) Y heavier tailed than X? (b) y lighter tailed than X? (c) X and Y have similar tails