Concept explainers
a)
To explain the difference between disjoint and independent.
a)
Explanation of Solution
Given:
If you examine one person, are the events that the person is Type A and that the peirson is Type B disjoint, independent, or neither?
First, we need to understand about disjoint and independent events.
Disjoint events: The events that cannot occur at the same time.
Independent events: Occurrence of one
For one person, the events of having Type A blood and having Type B blood are disjoint. One person cannot have both blood types.
b)
To explain the difference between disjoint and independent.
b)
Explanation of Solution
Given:
If you examine two people, are the events that the first is Type A and the second Type B disjoint, independent, or neither?
First, we need to understand about disjoint and independent events.
Disjoint events: The events that cannot occur at the same time.
Independent events: Occurrence of one event does not affect to the probability of the occurrence of another event.
For two people, the events of the first having Type A blood and Type B blood are independent because one person's blood type does not affect the other person's.
c)
To explain the difference between disjoint and independent.
c)
Explanation of Solution
Given:
Can disjoint events ever be independent?
First, we need to understand about disjoint and independent events.
Disjoint events: The events that cannot occur at the same time.
Independent events: Occurrence of one event does not affect to the probability of the occurrence of another event.
Disjoint events can never be independent. Once you know that one of a pair of disjoint events has occurred, the other one cannot occur, so its probability has become zero.
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Stats: Modeling the World Nasta Edition Grades 9-12
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