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a1 - University of New South Wales School of Actuarial...

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Version 1.1_______________ -- Version 1.1___________ University of New South Wales School of Actuarial Studies ACTL 2002 Probability and Statistics for Actuaries Assignment 1 This assignment is due on Friday, 14 May 2010 at 9:55 a.m., and must be submitted via Turnitin. The first page of your assignment must be the Actuarial Studies assignment cover sheet (available on Blackboard), acknowledging you have read the University rules on plagiarism. Please note that late assignments will not be marked. The assignment is worth 10% of your total assessment. Marks have been allocated to each question and total 100. Question 1 [20 marks] Recently your firm has made a series of costly errors in its group life insurance quotations. Your supervisor wishes to improve quality control. She has discovered a classic article in the field: Dorfman, Robert (1943), ‘The detection of defective members of large populations’, Annals of Mathematical Statistics , 14 (3), pp. 436–440. Your supervisor has asked you to read this article, and then write a review of the article. She has specified that the review should be no longer than 1 200 words. Question 2 [80 marks] The World Cup is played once every four years. National teams from all over the world compete. In 2002 and in 1998, 36 teams were invited. In 1994 and in 1990 only 24 teams participated. The data frame Soccer 1 contains three columns: CGT , Game , and Goals . The numbers of goals scored in the regulation 90 minute periods of World Cup soccer matches from 1990 to 2002 are listed in column Goals . There were a total of 575 goals scored during regulation time. The game in which
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