# mc_course4 - *BEGINNING OF EXAMINATION 1 You fit the...

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**BEGINNING OF EXAMINATION** COURSE/EXAM 4: MAY 2000 - 1 - GO ON TO NEXT PAGE 1. You fit the following model to 20 observations: Y X = + + a b e You determine that R 2 0 64 = . . Calculate the value of the F statistic used to test for a linear relationship. (A) Less than 30 (B) At least 30, but less than 33 (C) At least 33, but less than 36 (D) At least 36, but less than 39 (E) At least 39

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COURSE/EXAM 4: MAY 2000 - 2 - GO ON TO NEXT PAGE 2. You are given the following random sample of ten claims: 46 121 493 738 775 1078 1452 2054 2199 3207 Determine the smoothed empirical estimate of the 90 th percentile, as defined in Klugman, Panjer and Willmot. (A) Less than 2150 (B) At least 2150, but less than 2500 (C) At least 2500, but less than 2850 (D) At least 2850, but less than 3200 (E) At least 3200
COURSE/EXAM 4: MAY 2000 - 3 - GO ON TO NEXT PAGE 3. You are given the following information about two classes of business, where X is the loss for an individual insured: Class 1 Class 2 Number of insureds 25 50 E X b g 380 23 E X 2 c h 365,000 ---- You are also given that an analysis has resulted in a Bühlmann k value of 2.65. Calculate the process variance for Class 2. (A) 2,280 (B) 2,810 (C) 7,280 (D) 28,320 (E) 75,050

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