## Question

###### The firit 50 five dirit nmherz form the Rand] = Millinn Randlom Digits with IO(HIO Normal Deviates book (shown Ahut Feceled [0,1] (by dividing by LUUQU) end then all numbers 0.6 are Tetained. We can consier 3 Terained numbers As rAMdomSH Irul Weg U(0. 0.6) distribution.10097 39292 10402 02560 09376 3614732533 37542 00922 15953 38311 3655313586 04805 08422 34764 31165 1687734673 24805 19645 35080 04435 1217154876 '24037 09303 33606 2765909117 20536 23209 02529 12807Pretend the threshold 0.

The firit 50 five dirit nmherz form the Rand] = Millinn Randlom Digits with IO(HIO Normal Deviates book (shown Ahut Feceled [0,1] (by dividing by LUUQU) end then all numbers 0.6 are Tetained. We can consier 3 Terained numbers As rAMdomSH Irul Weg U(0. 0.6) distribution. 10097 39292 10402 02560 09376 36147 32533 37542 00922 15953 38311 36553 13586 04805 08422 34764 31165 16877 34673 24805 19645 35080 04435 12171 54876 '24037 09303 33606 27659 09117 20536 23209 02529 12807 Pretend the threshold 0.6 nOL kuown that 1 Ramne ITon unorn U(u distribution, w7th be extimated, Let M be the MAXIMUIL the Tetained Ralbl The likeliliood tul that 0.j 4076. (u . II 1(0 > u) 0-% 1(0 > MA where 1(A) is [ if [Tue 13 fa/se, ARSm- tolinformative ( Jellieys prior 7(01 1(0 > 0. Fosterior depends dnta via the maximum M and belongs Pule,a) wich denlity the Fareto family. 67 1(0 > c) What are and c? Estinall 4d cakculale 95% cquitailer credibk *. Value HaTAlele (0.6) in the cedible set? Mit: Expectation of the Pareto Pa(c,a) is and CDF 1s F(0) = (1 - (c/oj"] 1(0 > c). It