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Revision checklist: Probability distributions ❏ identify which theoretical model (normal, binomial, Poisson) would be appropriate and state the relevant parameters (A) ❏ calculate P(X = …), P(X < …), P (X ≥ …) etc. for theoretical models with the calculator (Ncd, Bpd, Bcd, Ppd, Pcd) (A) ❏ CALCULATE mean and standard deviation from a histogram or table (A/M) ❏ calculate probabilities from a uniform or a triangular distribution (A/M) ❏ state the assumptions for the choice of a distribution IN CONTEXT (for binomial and Poisson) (M) ❏ ESTIMATE mean and standard deviation from a histogram (M) ❏ justify a theoretical model (binomial or Poisson) by considering its variance OR by comparing observed and expected values (M) ❏ calculate λ from P(X = 0) or P(X ≥ 1) (M) ❏ calculate expected values from a distribution (M) ❏ calculate inverse probabilities from a histogram / table / theoretical model, including ‘the range of the middle …%’ (M) ❏ Calculate expected value, variance and standard deviation from functions, totals and combinations of discrete random variables (M) ❏ Consider the standard deviation when discussing the probability that a value may be achieved (E)