What Disjoint is
Disjoint (also known as mutually exclusive) is a concept in statistics which refers to two or more events or sets that have no common elements. Disjoint events or sets are mutually exclusive because they cannot occur at the same time.
Steps for Disjoint:
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Identify two or more events or sets.
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Determine if there are any common elements of the events or sets.
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If there are no common elements, the events or sets are disjoint (or mutually exclusive).
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Calculate the probability of the disjoint events or sets using the formula: P(A ∩ B) = P(A) + P(B) - P(A ∪ B).
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Calculate the probability of the union of the disjoint events or sets using the formula: P(A ∪ B) = P(A) + P(B).
Examples
- The use of disjoint sets in hypothesis testing to determine whether two populations are statistically different.
- Performing disjoint sets analysis to determine whether two subsets of data are independent of each other.
- Using disjoint sets to identify non-overlapping sets of data when comparing different groups of observations.
- Examining sets of data to determine whether they are statistically disjoint.