The Normal Approximation to the Binomial Distribution (VCE SSCE Mathematical Methods): Flashcards

Both $np$ and $n(1-p)$ must be > 5

$\mu = np$

$\sigma = \sqrt{np(1-p)}$

$n$ large, $p$ not too close to 0 or 1

Simplifies calculations for large $n$

$n$ (trials) and $p$ (probability of success)

Becomes more bell-shaped/symmetric

Symmetric

Skewed (asymmetric)

When $n$ is large enough