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# What is the sample space discrete random variable?

## What is the sample space discrete random variable?

A sample space is a collection of all possible outcomes of a random experiment. A random variable is a function defined on a sample space.

### What is a discrete sample space?

A sample space may contain a number of outcomes that depends on the experiment. If it contains a finite number of outcomes, then it is known as discrete or finite sample spaces.

#### How do you find the sample space of a random variable?

A sample space is the SET of values a random variable can take. You can think of random variable as an unopened box. This unopened box contains each member of the sample space with some probability. In your example of a dice roll, the sample space is {1,2,3,4,5,6}.

What is the sample space of the diagram?

Sample space is a term used in mathematics to mean all possible outcomes. For example, the sample space for rolling a normal dice is {1,2,3,4,5,6} as these are all the only outcomes we can obtain. The sample space for flipping a coin is {H, T}.

What is the formula for sample space?

The sample space is S = {H, T}. E = {H} is an event. Example 2 Tossing a die.

## How do you list elements in a sample space?

A sample space is usually denoted using set notation, and the possible ordered outcomes, or sample points, are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for “universal set”). The elements of a sample space may be numbers, words, letters, or symbols.

### What is a sample space example?

Sample space is all the possible outcomes of an event. Sometimes the sample space is easy to determine. For example, if you roll a dice, 6 things could happen. You could roll a 1, 2, 3, 4, 5, or 6.

#### What is the sample space of a random 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).

What is a sample space and examples?