Sampling with Replacement: The Binomial Distribution (VCE SSCE Mathematical Methods): Flashcards

Probability of success remains constant across trials

Four

Remains constant (probability $p$) for all trials

Outcomes of trials don't affect each other

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

Ways to get exactly $x$ successes from $n$ trials

Probability of getting $x$ successes

Find probability for a specific value of $x$

Find cumulative probability over a range

Scatter plot (discrete variable)