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Statistics and modelling 3.6 Use probability distribution models to solve straightforward problems

Achievement criteria

The level of achievement that you reach is decided by the questions that you answer correctly.

Achievement

  • You use probability distribution models to solve straightforward problems.
  • Distributions will include a selection from:

Achievement with Merit

  • You need to reach Achievement.
  • You use probability distribution models to solve problems.
  • Problems may include:
    • sum of two normally distributed independent variables
    • inverse normal problems
    • calculate sample statistics to estimate the corresponding population parameters, for example, using sample data to estimate maths symbol for a binomial distribution or maths symbol for a Poisson distribution
    • continuity correction where appropriate
    • combined events for Poisson, normal or binomial distributions.

Achievement with Excellence

  • You need to reach Achievement with Merit.
  • You use and justify probability distribution models to solve complex problems.
  • Problems may include:
    • inverse Poisson
    • linear combinations of normally distributed independent variables, for example aX + bY and X1 + X2 + X3 + X4 + .... + Xn
    • selecting and justifying the use of a model.

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