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What is sample space in data?
In probability theory, the sample space (also called sample description space or possibility space) of an experiment or random trial is the set of all possible outcomes or results of that experiment. The elements of a sample space may be numbers, words, letters, or symbols.
What is sample space give an example?
The sample space is the set of all possible outcomes, for example, for the die it is the set {1, 2, 3, 4, 5, 6}, and for the resistance problem it is the set of all possible measured resistances. This set may be discrete or continuous. An event is a set of outcomes.
What is the sample space in the experiment?
The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive (i.e., they cannot occur simultaneously).
Why is it called sample space?
In particular, a random experiment is a process by which we observe something uncertain. After the experiment, the result of the random experiment is known. An outcome is a result of a random experiment. The set of all possible outcomes is called the sample space.
What is the sample space in this problem?
Definition: The sample space of an experiment is the set of all possible outcomes of that experiment.
What is the possible result of the experiment?
An OUTCOME (or SAMPLE POINT) is the result of a the experiment. The set of all possible outcomes or sample points of an experiment is called the SAMPLE SPACE.
What is the value of sample space?
The probability of an outcome e in a sample space S is a number P between 1 and 0 that measures the likelihood that e will occur on a single trial of the corresponding random experiment. The value P=0 corresponds to the outcome e being impossible and the value P=1 corresponds to the outcome e being certain.
How is the sample space related to the set?
The outcome occurs randomly and is unknown prior to conducting our experiment. In this set theory formulation of probability, the sample space for a problem corresponds to an important set. Since the sample space contains every outcome that is possible, it forms a set of everything that we can consider.
How many outcomes are in a sample space?
Since there are two outcomes for flipping a coin and six outcomes for rolling a die, there are a total of 2 x 6 = 12 outcomes in the sample space we are considering.
How many dice are in the sample space?
For the experiment of rolling three six-sided dice, the sample space consists of the set of the 216 possible triples of the numbers 1, 2, 3, 4, 5 and 6. For the experiment of rolling n six-sided dice, where n is a positive whole number, the sample space consists of 6 n elements.
When is the sample space limitless in statistics?
Technically there is an infinite number of possible points inside the balloon; thus, making the sample space limitless. When this happens, we will use a rule or statement like x > 0 or “all positive real numbers.” And sometimes, we want to identify those elements that are not part of an event.