Probability — distributions for exam 2
VCE Mathematical Methods · Probability essentials · 7 flashcards, free to study.
Discrete + continuous; binomial conditions; normal rule of thumb.
- P(A ∪ B) formula
- P(A) + P(B) − P(A ∩ B)
- When are A and B independent?
- P(A ∩ B) = P(A) × P(B)
- Conditional probability
- P(A|B) = P(A ∩ B) / P(B)
- Expected value of a discrete RV
- E(X) = Σ x · P(X = x)
- Variance — formula
- Var(X) = E(X²) − [E(X)]²
- Binomial — when does it apply?
- Fixed n trials, two outcomes, constant probability, independent trials.
- Normal distribution — 68/95/99.7 rule
- ~68% within 1σ, ~95% within 2σ, ~99.7% within 3σ of the mean.