What you're looking for is technically known as currying.
function getMyCallback(randomValue)
{
return function(otherParam)
{
return randomValue * otherParam //or whatever it is you are doing.
}
}
var myCallback = getMyCallBack(getRand())
alert(myCallBack(1));
alert(myCallBack(2));
The above isn't exactly a curried function but it achieves the result of maintaining an existing value without adding variables to the global namespace or requiring some other object repository for it.