An outcome or set of outcomes for a random variable1 pointProbabilitySampleEvent
Question
An outcome or set of outcomes for a random variable
1 point
Probability
Sample Event
Solution
It seems like you're asking for definitions of some statistical terms. Here they are:
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Outcome: This is a possible result of a single trial of a random experiment or observation. For example, if you roll a die, the outcome could be any number from 1 to 6.
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Set of Outcomes: This is simply a collection of possible outcomes. In the die example, the set of outcomes would be {1, 2, 3, 4, 5, 6}.
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Random Variable: This is a variable whose possible values are numerical outcomes of a random phenomenon. For example, if you flip a coin twice, the random variable X could represent the number of heads you get. X could therefore be 0, 1, or 2.
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Probability: This is a measure of how likely a particular outcome is. It's usually expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means it's certain. For example, the probability of rolling a 3 on a fair six-sided die is 1/6.
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Sample: This is a subset of a population that is used to represent the entire group as a whole. For example, if you wanted to know the average height of people in a city, you might measure a sample of 100 people rather than trying to measure everyone.
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Event: In probability theory, an event is a set of outcomes of an experiment to which a probability is assigned. For example, if you roll a die, an event could be rolling an even number, which includes the outcomes 2, 4, and 6.
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