Normal Approximation of Binomial (AQA A-Level Mathematics): Flashcards

Large $n$, $np \geq 5$, $n(1-p) \geq 5$

$np \geq 5$

$n(1-p) \geq 5$

$np$

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

Adjusting bounds when converting discrete to continuous dist.

$0.5$

Normal is continuous, Binomial is discrete

$Z = \frac{X - \mu}{\sigma}$

Ensures Binomial is bell-shaped for Normal approx.