Plenty. It's often said one should be able to squat 1.5 times their body weight before doing plyometric. I'm not entirely convinced of this number per se as gymnasts do plyo their entire lives, but they do a lot of strength and skill work leading up to it to protect the soft tissues and joints.
Additionally, one needs a good supply of strength compared to their body weight in order to accelerate it explosively, be it jumping or pushing something like shotput.
Things to consider for explosive work is rate coding; the ability to recruit higher end motor units more quickly or in a more technical term, more rapid neuronal impulses summated. You cannot hope to do this if one does not have enough strength and ability to recruit more motor units in the first place (See also Henneman's size principle).
As an arbitrary number, if you can only recruit 5 motor units and attempted plyo, you wont get as far as the guy who can recruit 7 motor units.
Strength training allows for us to protect our body and increase power output later when trained specifically for it.
I'll pm you a link on motor control.