Discrete distributions

Reading time

The page discrete distributions module Data Analysis displays the theoretical representation of the 3 main discrete distributions:

Hypergeometric distributions:

💡Definition: Hypergeometric law

The parameters are

  • N: Total number of samples
  • D: Total number of faults
  • n: Number of samples taken
  • x: Number of defects sampled
  • Cumulative probability: Probability of sampling x defects or less
  • D min: Minimum number of defects in total sample (at 95%)
  • D max: Maximum number of defects in the total sample (at 95%)

Binomial distributions:

💡Definition: Binomial distributions

The parameters are

  • p: probability of default
  • n: Number of samples taken
  • x: Number of defects sampled
  • Cumulative probability: Probability of sampling x defects or less
  • p min: minimum probability of default (at 95%)
  • p max: maximum probability of default (at 95%)

Poisson distribution:

💡Definition: Poisson's law

The parameters are

  • lambda: lambda parameter of the poisson distribution
  • x: Number of defects sampled
  • Cumulative probability: Probability of sampling x defects or less
  • lambda min: minimum lambda (at 95%)
  • lambda max: maximum lambda (at 95%)