Anonymous

# Statistics help!!!?

There are 10 fraternity brothers at a shooting gallery at the state fair. Each brother is a perfect shot. Ten cardboard ducks appear simultaneously, and each shooter picks one of the ten ducks at random and hits his target. We will assume that they are allowed only one shot.

Simulate this experiment using a table or random numbers. Explain what will constitute a repetition.

I was thinking of labelling the ducks 0 to 9 and then picking a line from the Table of Random Numbers and using 10 digits and whichever numbers aren't present are the ducks that were not shot at. Is this right?

Relevance

Sounds good to me!

I don't think that that's right. Each shooter independently chooses a duck (digit). It doesn't matter if two or more shooters hit the same duck, all that matters is that each shooter has a 1/10 chance of picking, thus hitting, a given duck.

So, what you really want to do is generate 10 random digits individually and look at repetitions.

Wait, I convinced myself that what you're doing is correct!

I'll leave this here for other comments.

• Anonymous