Suppose I have a jar of equal numbers of 10 different types of marbles (green, blue, etc.), and I randomly select (and then replace) a marble a thousand times. Consequently I can expect that I will pick each type of marble roughly 100 times, but how can I calculate the formula which describes the probability density function?
For example, if it's a normally distributed value, which I think it is, then I would want to know the mean (which I believe would be 100 for this example) and the standard deviation.