Binomial distribution and probability problem

the_d
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Homework Statement



A population has an average of 12 defects per 100 feet of wire sampled and inspected. What is the probability of finding 20 or fewer defects in a sample?


Homework Equations



I think I am supposed to use the binomial distribution b(x;n,p)


The Attempt at a Solution



Where should i look to start?
 
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If you want to use the binomial distribution you need a sample size, do you not? You don't have one here.
What distribution do you know of that refers to the mean number of items per (area, length, volume, time)?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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