I don't know what binomial numbers are, and can't get straight answer using google except some maths formulas witch i don't understand. So i think, for me its better to get clear if i see some example.
Say i generate a 100 random numbers with values ranging from 0 to 1000, what values should i expect with this "distribution"?
This would be equivalent to tossing 1000 coins, 100 times. The numbers you'll be getting will be the numbers of heads (for example), in your 1000-coin sample. You will get a lot of numbers that are close to the middle of the range, and only a few numbers that are close to zero or to 1000.