They've been into bobsleight on and off for the past 26 years: http://en.wikipedia.org/wiki/Jamaica_national_bobsleigh_team

Their story inspired a comedy, Cool Runnings: http://www.imdb.com/title/tt0106611/

Jamaicans are into sprinting - it is basically the national sport. In the bob, three skills are needed: sprinting while pushing a bob, sitting very still, and steering, and only one person needs to do steering. And the sprinting bit is quite important. Bobsleigh is like a natural pivot into a new market for sprinters.

Jamaicans aren't into bobsleigh, that's why there was no money to send the team.