Bernoulli Sequences and the Binomial Probability Distribution (VCE SSCE Mathematical Methods): Flashcards

Sequence with binary outcomes, constant prob., independence

Binary outcomes: success ($S$) or failure ($F$)

Constant probability $p$ for success, $1-p$ for failure

Independence: each trial doesn't affect others

Number of successes in $n$ trials of Bernoulli sequence

$X \sim \text{Bi}(n, p)$

$\binom{n}{x}p^x(1-p)^{n-x}$

$\frac{n!}{x!(n-x)!}$

binomPdf

binomCdf