Binomial Distribution (Leaving Cert Mathematics): Flashcards

Discrete probability distribution

Two possible outcomes (success or failure)

Probability of success $p$ remains constant

Trials are independent of each other

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

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

$\mu = n \times p$

$\sigma^2 = n \times p \times (1-p)$

Total number of trials

Probability of success

Quality control, surveys, games of chance