I currently have one but it only has a chance of paralyzing them for 2 seconds. Thanks
That's all you need. When you disencant an item at an Arcane Enchanter table you learn the type of enchantment but not the magnitude of the enchantment. The strength of the enchantment on an item you disenchant is irrelevant, and the strength of an enchantment when you are enchanting an item depends on:
1. Your Enchanting skill (including any boosts from Fortify Enchantment potions);
2. Your Enchanting perks; and
3. The size of the soul you use to bind the enchantment to the item.
I highly suggest not putting that enchantment on it at all. look at perk 100 for archery, unless your really short on perks just get that, that entire left side of the archery section is necessary/amazing for sneak/assasin characters.
I disagree. First of all you have to have 100 in Archery to activate that perk so it's an endgame build which is not going to be available to him for most of the game. Second of all, like rest of the ultimate weapon skill perks it has a very low chance of taking effect. In fact out of the three it's the gimpiest, requiring 100 points in the skill instead of 90 while being 10% less likely to take effect
The benefits of having a Paralyze enchanted bow when your preferred open combat mode is ranged should be painfully obvious, but to spell it out - being able to stack shot after shot on a target without them closing the distance or hitting you with a ranged attack gives you a substantial advantage over the nominal amount of damage bonus that you're going to get from fire, frost or shock enchantments.
This is especially true at low levels when you may not be able to one shot a lot of mobs, and mob resist checks to paralysis are weak. By contrast having the weak Archery Bullseye perk is going to be worthless in almost every encounter you're going to have because if you did a proper build you are going to be one shotting a lot of your targets by the time you can get it, and you'll be staggering mobs half the time you don't with your Power Shot perk.
My advice to the OP is to disenchant the weapon he has with the Paralyze enchantment now and start putting it to good use. He can always make a better bow with double enchants later on but there is no good reason to deprive himself of the benefits of a bow enchanted with Paralyze until then.