Probability and random variable

The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

or simply a numerical description of likely is something to happen.

• Experiment

• Outcome

• Sample Space

• Probability

A series of actions where the outcomes are always uncertain and any activity performed wherein we arrived at a desirable outcome.

• Sample Space

• Experiment

• Probability

• Event

The set of all possible outcomes to occur in any trial.

Example:

Tossing a coin, the sample space (S) = {H, T}

• Probability

• Experiment

• Event

• Sample Space

A subset of a sample space or a single outcome of an experiment.

• Event

• Experiment

• Probability

• Sample Space

A numerical quantity that is assigned to the outcome of an experiment. It is a variable that assumes numerical values associated with the events of an experiment.

• Dependent Variable

• Independent Variable

• Random Variable

• Confounding Varialbe

Which is not an example of steps in determining a random variable?

• Assign letters to represent each outcome

• Determine the Sample Space

• Solve the frequency of the random variable

• Count the number of random variable

A ______ is one that can assume only a countable number of values. It is a random variable whose possible values form a finite or countable set of numbers.

• Continuous random variable

• Discrete random variable

• Dependent variable

• Independent variable

A ________ can assume infinite number of values in one or more intervals and is generated from an experiment in which things are measurable.

• Continuous random variable

• Discrete random variable

• Independent variable

• Dependent variable

Number of students who applied in STEM strand in Academic Year 2023-2024.

• DISCRETE

• CONTINUOUS

The amount of ketchup in a jar.

• DISCRETE

• CONTINUOUS