Statistical Review: Homework Set 4_1 - EMSE 171/271 - Fall 2005 - Prof. Johan Dorp, Assignments of Systems Engineering

Download Statistical Review: Homework Set 4_1 - EMSE 171/271 - Fall 2005 - Prof. Johan Dorp and more Assignments Systems Engineering in PDF only on Docsity! STATISTICAL REVIEW Homework Set 4_1 EMSE 171/271 - FALL 2005 J.R. van Dorp; ; Page 1dorpjr@gwu.edu Question 1: Let denote the proportion of allotted time that a randomly selected student\ spends working on a certain aptitude test. Suppose the pdf of is\ 0ÐBl Ñ œ Ð  "ÑB ! Ÿ B Ÿ " ! ) )œ ) otherwise where . A random sample of ten students yields the data)   " B œ !Þ*#ß B œ !Þ(* B œ !Þ*! B œ !Þ'& B œ !Þ)'ß" # $ % &, , , B œ !Þ%(ß B œ !Þ($ß B œ !Þ*(ß B œ !Þ*%ß B œ !Þ((Þ' ( ) * "! a. Use the method of moments to obtain an estimate of and then compute the) estimate for this data. b. Obtain the maximum likelihood estimator of , and then compute the estimate) for the given data.