Ben is throwing darts at a circular target with diameter 10. Ben never misses the target when he throws a dart, but he is equally likely to hit any point on the target. Ben gets ⌈5−x⌉ points for having the dart land x units away from the center of the target. What is the expected number of points that Ben can earn from throwing a single dart? (Note that ⌈y⌉ denotes the smallest integer greater than or equal to y.) ceiling functionprobabilityexpected value