SlideServe
Télécharger Obtenir Pro
Menu
Accueil Pro
Préférences
ApparenceLight Aide et commentaires
© SlideServe · v2026

AP Statistics Review

curry avatar
curry
7 diapositives · 529 Views · Jul 20, 2014

AP Statistics Review. Probability(C14-C17 BVD) C17: Binomial and Geometric Probability Models. Many probability questions on AP exam fit a binomial model BINS B – Binary? Outcomes can be defined as success/fail.

#ap statistics review #ap statistics review ppt #powerpoint #presentation
AP Statistics Review - slide 1
01 / 7AP Statistics Review
1 / 17

Télécharger la présentation

AP Statistics Review
Une image / un lien ci-dessous est fourni (tel quel) pour télécharger la présentation

Politique de téléchargement : le contenu du site vous est fourni TEL QUEL pour votre information et votre usage personnel ; il ne peut être vendu, concédé sous licence ni partagé sur d’autres sites sans l’accord de son auteur.Le contenu vous est fourni TEL QUEL, pour votre information et votre usage personnel uniquement. Téléchargez la présentation en cliquant sur ce lien. Lors du téléchargement, si vous ne parvenez pas à télécharger une présentation, l’éditeur a peut-être supprimé le fichier de son serveur.Pendant le téléchargement, si vous ne parvenez pas à obtenir une présentation, le fichier a peut-être été supprimé par l’éditeur.

F I N

Plus de contenu associé

Transcription de la présentation

  1. AP Statistics Review Probability(C14-C17 BVD) C17: Binomial and Geometric Probability Models

  2. Many probability questions on AP exam fit a binomial model • BINS • B – Binary? Outcomes can be defined as success/fail. • I – Independent? Knowing result of one trial does not effect result of another trial • N – Number? Number of trials n fixed in advance • S – Success Same? Probability of success (p) is the same for each trial. Binomial Settings (Bernoulli Trials)

  3. X = number of successes in n trials • P(X=x) = nCx (px) (1-p)n-x • Mean µ = np • Standard deviation σ = sqrt(npq) • Notation: Binom(n,p) • Binompdf(n,p,X) • Binomcdf(n,p,X) – up to X successes • Complement rule (1- opposite) very handy • See page 331-332 for example BINS – check So now what?

  4. Many probability questions on AP exam fit a geometric model • BITS • B – Binary? Outcomes can be defined as success/fail. • I – Independent? Knowing result of one trial does not effect result of another trial • T– Trials? Asking how many trials until success • S – Success Same? Probability of success (p) is the same for each trial. BITS – Geometric Model

  5. X = number of trials until success • P(X=x) = (1-p)x-1p • Mean µ = 1/p • Standard deviation σ = sqrt(q/p2) • Notation: Geomet(n,p) • Geometpdf(p,X) • Geometcdf(p,X) – 1st success on or before trial x • Complement rule (1- opposite) very handy • See page 328 for example BITS – check So now what?

  6. Technically I in BINS or BITS is not met when in a sampling situation – when you draw from a finite population, the probability of the next event changes slightly (think of drawing Ace then Ace in a deck of cards) • However, if the sample is smaller than 10% of the population, the probabilities change slightly enough that they are almost as if they didn’t change at all. • So: 10% Condition – if sample is < 10% pop, we can still use Binomial/Geometric probability models and procedures Binomial/Geometric Probability Models when Sampling

  7. A Binomial model is approximately Normal if we expect at least 10 successes and 10 failures • (np and np ≥ 10) • If that is true, use N(µ,σ) instead of Binom(n,p,X) with Mean µ = np and Standard deviation σ = sqrt(npq) • C6 again! Success/Fail Condition