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

To estimate Binomial probabilities in large samples.

When $n$ is large and $np$, $n(1-p)$ are both ≥ 5.

$np \geq 5$ and $n(1-p) \geq 5$.

$n$ is 100, the number of flips.

$p$ is 0.7 for heads.

$\mu = np = 70$.

It measures data dispersion around the mean.

To adjust Binomial probabilities for Normal distribution.

Use $z = (X - \mu) / \sigma$.

Use normal approximation for binomial distribution.