(1) Suppose that there is op 0 such that P (LR x H2) = 1 / x. Determine the distribution of the likelihood ratio under Hand under H2. Give an example of a type of evidence for which this distribution can be obtained. 

(2) It would be nice if we had, for all 3 0, P (LR H) P (LR x | Hı), 1 since this would mean that the probability to observe misleading evidence against H is at most the probability to observe evidence of the same strength in favor of H, if H holds. Does this property hold? Prove it if it does or give an example to show that it does not.