I'm with you PA. I am curious to know if this is a question he wants an answer to or just testing the knowledge of the people here.
Here are some answers to your questions
1.) do you know how many strokes a Banshee has?
Each cylinder would have 2-strokes which would make 4 total for a banshee twin cylinder. Hence 2-Stroke
2.) Do you know what an engine stroke is?
Well for a 2-stroke there are 2 strokes and up and a down. on the Up stroke the motor will pull in gas and air from the carb. Then it compresses the gas and air at the top this is when your spark plug fires and make the piston go down. on the way down the the exhaust goes out and the piston repeats the process over and over and over or until you run out of gas. If you are talking a 4-stroke engine well that I am not going to get into. below is a link to a good read if you want more details.
http://science.howstuffworks.com/two-stroke2.htm
3.) Do you even know how tight of a band you need to make a 2 stroke powerband for a 350 Banshee?
I don't really understand what you are asking here. tight of a band? A powerband is created from the motor reaching a certain rpm at which it opens the Reeds further causing more gas and air to get sucked into the cylinder. when the piston reaches the top of the stroke the air and gas is at a greater volume creating more compression in the cylinder and causing a bigger explosion.
4.) So how many foot pounds does a stock 350 Banshee need to make a 2 stroke powerband?
I have never used foot pounds to measue pressure in a 2-stroke. I believe correct me if I am wrong a powerband is created form the increase in preasure that is cause by the speed at which the piston is moving. When it reaches a certain RPM the Reeds will open wider causing more gas and air to get sucked into the cylinder and a higher compression. Thus causing the powerband. If that is the pressure that you are talking about no I don't know what that pressure is.
I hope this answers some of your questions