試題詳解

245. On Main Street, a driver’s speed just before an accident is uniformly distributed on [5, 20]. Given the speed, the resulting loss from the accident is exponentially distributed with mean equal to three times the speed.

Calculate the variance of a loss due to an accident on Main Street.
(A) 525
(B) 1463
(C) 1575
(D) 1632
(E) 1744