Concept explainers
Terminology Consider the following terms: sample space:
Match each terms to the appropriate description.
(i) the event: that event A does not occur
(ii) collection of one or more outcomes of a statistical experiment or observation
(iii) set of all outcomes of a statistical experiment or observation
The correct match for the provided terms sample space, event A, and complement of event A with their appropriate descriptions.
Answer to Problem 1CR
Solution:
The correct match for the term ‘sample space’ is ‘set of all possible outcomes of a statistical experiment or observation’.
The correct match for the term ‘event A’ is ‘collection of one or more outcomes of a statistical experiment or observation’.
The correct match for the term ‘complement of event A’ is ‘the event that event A does not occur’.
Explanation of Solution
Given Information:
The provided descriptions are:
(i) The event that event A does not occur.
(ii) Collection of one or more outcomes of a statistical experiment or observation.
(iii) Set of all possible outcomes of a statistical experiment or observation.
Consider the term ‘sample space’ in which a particular outcome of a statistical experiment is known as a simple event. The set of all possible outcomes (simple events) of a statistical experiment constitutes the sample space of an experiment. It is denoted by ‘S’.
So, the correct match for the ‘set of all possible outcomes of a statistical experiment or observation’ is ‘sample space’.
Consider the term ‘event A’ that can be defined as the subset of a sample space that consists of a collection of one or more outcomes of an experiment. So, the correct match for the ‘collection of one or more outcomes of a statistical experiment or observation’ is ‘event A’.
Consider the term ‘complement of event A’. It can be defined as the event that event A does not occur. It can be denoted by ‘event
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Chapter 5 Solutions
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