I've been Googling and raking my brain over college statistics for the past hour, but can't seem to find a solution for this particular situation:
So, I have a lot of beans (assume an infinite sized population of beans) evenly mixed at a ratio of 1 red bean : 100 green beans.
Say I take 30 random samples of 4200 beans each. What would be the standard deviation of the number of red beans these samples?
Ultimately, I need to create some sort of visual probability distribution curve that shows the expected distribution of red beans across 30 random samples. What formulas should I use for this particular situation?
Any guidance at all would be deeply appreciated!