Is the Exp from the sizzling summer event given to a random skill, or can we chose which skill the exp goes to?
The Sizzling Summer FAQ says:
How will this free XP be delivered? Will it be the same way the different SoF lamps work?
UPDATED: The XP will be delivered in a way that will allow you to distribute it amongst your skills as you see fit. Please keep a look out for more information in the coming weeks!
So, you can choose how to distribute it.