[R] on the growth of standard error

[Abby Spurdle]

> The absolute
> value of e grows as L grows, but by how much?  It seems statistical
> theory claims it grow by an order of the square root of L.

Assuming you want the standard deviation for the number of successes,
given p=0.5:

#exact
0.5 * sqrt (n)

#numerical approximation
sd (rbinom (1e6, n, 0.5) )

Note that variance should be linear in n.