Probability, binomial?

In my problem, I am dealing with a hypothetical situation where I am walking outdoors and am surrounded by mosquitoes. For any given meter I walk, there are 100 mosquitoes, each with a probability p of biting me. I am supposed to determine how many mosquito bites I get after a certain distance walked and create a histogram. (Should my histogram be # of bites per distance walked?)

I figured I could use binomial distribution to figure out the probability of being bitten per meter

$$\frac{n!}{x!(n-x)!}{p}^{x}(1-p{)}^{n-x}$$

where n is the total number of mosquitoes, x is the how many mosquitoes bite me per given meter (determined using my program) and p is the chance of being bit by a single mosquito. Should the number of meters come into play in the binomial distribution? I'm lost. I'm not even sure I'm using this correctly though and don't really know where to go from there. I have never taken any stat classes, so I could really use the help.