Problem 2: Suppose we have an observation X from the logistic distribution given by f (x) = exp (x-0) (1+exp (x-0))2: With x E R and O E R. 1. Show that this family has MLR property 11. Using the above find a UMP size a test for testing Ho: 0 = 0 vs. H, : 0 > 0 [5] Ill. Let a, + d2 = a