試題詳解

243. A couple takes out a medical insurance policy that reimburses them for days of work missed due to illness. Let X and Y denote the number of days missed during a given month by the wife and husband, respectively. The policy pays a monthly benefit of 50 times the maximum of X and Y, subject to a benefit limit of 100. X and Y are independent, each with a discrete uniform distribution on the set {0,1,2,3,4}.

Calculate the expected monthly benefit for missed days of work that is paid to the couple.
(A) 70
(B) 90
(C) 92
(D) 95
(E) 140