Gaussian approximation to the centred fair-coin binomial

e^(-x^2/n)/sqrt(pi n) beside the exact centred binomial.

Usage

GaussApx(x, n)

Arguments

x

deviation from n Heads.

n

half the number of flips, >= 1.

Value

list(approx, exact, rel_error).

References

Morin, D. J. (2016). Probability: For the Enthusiastic Beginner. Createspace. Eqs (5.4), (5.13).

Examples

GaussApx(2, 50)$rel_error
#> [1] 0.001727497