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PO906: Quantitative Data Analysis and Interpretation

PO906: Quantitative Data Analysis and Interpretation

warwick.ac.uk

• Binary data: binomial distribution: the discrete probability distribution of the number of successes in a sequence of n independent yes/no experiments, each of which yields success with probability p. Such a success/failure experiment is also called a Bernoulli experiment or Bernoulli trial (n=1 – Bernoulli distribution):

  Distribution, Quantitative, Experiment, Binomial, Bernoulli distribution, Bernoulli, Binomial distribution

Bernoulli distribution X - William & Mary

Bernoulli distribution X - William & Mary

www.math.wm.edu

The Bernoulli distribution is associated with the notion of a Bernoulli trial, which is an experiment with two outcomes, generically referred to as success (x =1) and failure (x =0). The cumulative distribution function of X ∼Bernoulli(p)is

  Distribution, Bernoulli distribution, Bernoulli

Bernoulli Distribution - University of Chicago

Bernoulli Distribution - University of Chicago

galton.uchicago.edu

Bernoulli distribution (with parameter µ) – X takes two values, 0 and 1, with probabilities p and 1¡p – Frequency function of X p(x) = ‰ µx(1¡µ)1¡x for x 2 f0;1g 0 otherwise – Often: X = ‰ 1 if event A has occured 0 otherwise Example: A = blood pressure above 140/90 mm HG. Distributions, Jan 30, 2003 - 1 -

  Distribution, Bernoulli distribution, Bernoulli

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