Question: (I) (Combining multple scoring systems) In a figure skating competition, three judges J1, J2, and J3 give the eight skaters the following scores. The goal

(I) (Combining multple scoring systems) In a figure skating competition, three

(I) (Combining multple scoring systems) In a figure skating competition, three judges J1, J2, and J3 give the eight skaters the following scores. The goal is to reach a final ranking J*. (10 points each except that (d) has 5 points) JI J3 9.31 9.8 9.6 9.2 9.4 10 J2 skater 8.6 7.3 8.4 6.3 9.4 9.7 7.5 10 7.2 8.4 5.6 7.4 8.5 6.7 7.6 10 6.3 (a) Find the final ranking J* by average score combination of J1, J2, and J3. (b)Find the final ranking J* by average rank combination of J1, J2, and J3. (c) Find the rank-score characteristic (RSC) function of J1, J2, and J3; i.e. fu J1 fj2, and fra where fACi) SA())(SA r(i). (Note: each score (d) Draw the graphs of fi, fz-and f73 on the same 2-dimensional coordinates (e) Find the final ranking J* using the weighted score combination with (f) Same as (e), use weighted rank combination function sA has to be normalized linearly to the range [0, 1].) where X-[1, 8| and Y-[0, 1] confidence 0.80, 0.85, and 0.70 for J1, J2, and J3 respectively. (I) (Combining multple scoring systems) In a figure skating competition, three judges J1, J2, and J3 give the eight skaters the following scores. The goal is to reach a final ranking J*. (10 points each except that (d) has 5 points) JI J3 9.31 9.8 9.6 9.2 9.4 10 J2 skater 8.6 7.3 8.4 6.3 9.4 9.7 7.5 10 7.2 8.4 5.6 7.4 8.5 6.7 7.6 10 6.3 (a) Find the final ranking J* by average score combination of J1, J2, and J3. (b)Find the final ranking J* by average rank combination of J1, J2, and J3. (c) Find the rank-score characteristic (RSC) function of J1, J2, and J3; i.e. fu J1 fj2, and fra where fACi) SA())(SA r(i). (Note: each score (d) Draw the graphs of fi, fz-and f73 on the same 2-dimensional coordinates (e) Find the final ranking J* using the weighted score combination with (f) Same as (e), use weighted rank combination function sA has to be normalized linearly to the range [0, 1].) where X-[1, 8| and Y-[0, 1] confidence 0.80, 0.85, and 0.70 for J1, J2, and J3 respectively

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