NZC Level 8, NCEA Level 3: Statistics and Probability

3.14 Apply probability distributions in solving problems

(91586)
External 4 credits

This standard is derived from Achievement Objective S8.4, Investigate situations that involve elements of chance.

  • calculating and interpreting expected values and standard deviations of discrete random variables
  • applying distributions such as the Poisson, binomial and normal

Methods are selected from those related to:

  • discrete and continuous probability distributions
  • mean and standard deviation of random variables
  • distribution of true probabilities versus distribution of model estimates of probabilities versus distribution of experimental estimates of probabilities.

Students should be able to calculate the mean and standard deviation from a plot of the distribution of a discrete random variable, linking probabilities and areas under density functions for continuous outcomes.

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