試題詳解

109. Automobile claim amounts are modeled by a uniform distribution on the interval [0,10,000]. Actuary A reports X, the claim amount divided by 1000. Actuary B reports Y, which is X rounded to the nearest integer from 0 to 10.
Calculate the absolute value of the difference between the 4th moment of X and the 4th moment of Y.
(A) 0
(B) 33
(C) 296
(D) 303
(E) 533