Learn Cumulative Hypergeometric Distribution Online, Definition, Formula, Example

Cumulative Hypergeometric Distribution Tutorial

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>> What is Hypergeometric distribution?

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Cumulative Hypergeometric Distribution

Definition:

   A cumulative hypergeometric distribution is used for calculating the probability of getting atleast n successes in the hypergeometric experiment.

Formula:

  h(x < x;N;n;k) = h(x = 0;N;n;k) + h(x = 1;N;n;k) +...+ h(x = x;N;n;k)

  where,
  h(x = 0;N;n;k) and h(x = x;N;n;k) is calculated using hypergeometric distribution formula.

Example:

  Consider, if 5 balls are chosen randomly from the total of 10 balls without repetition. Calculate the probability of getting atleast 2 red balls out of 6 red balls.

where, N=10, n=6, k=5, and x=2.

h(x < 2;N;n;k) = h(x = 0;N;n;k) + h(x = 1;N;n;k) + h(x = 2;N;n;k)
                     = [₅C₀] [₅C₄] / [₁₀C₆] + [₅C₁] [₅C₄] / [₁₀C₆] + [₅C₂] [₅C₄] / [₁₀C₆]
                     = 0.001 + 0.024 + 0.238.
                     = 0.263.

Hence there are 26.3% possibilities for choosing atleast 2 red balls without repetition.

This tutorial will guide you to calculate the cumulative hypergeometric distribution problems.

Related Topics:
>> What is Hypergeometric distribution?

Related Calculator:
>> Calculate Hypergeometric Distribution online