Random Variables

Front

What is a random variable?

Back

A random variable is a numerical outcome of a random phenomenon, which can take on different values based on the outcome of a random event.

Front

What are the two main types of random variables?

Back

The two main types of random variables are discrete random variables and continuous random variables.

Front

Define a discrete random variable.

Back

A discrete random variable is one that can take on a countable number of distinct values, often representing counts or whole numbers.

Front

Define a continuous random variable.

Back

A continuous random variable is one that can take on an infinite number of values within a given range, often representing measurements.

Front

Give an example of a discrete random variable.

Back

An example of a discrete random variable is the number of heads when flipping a coin three times.

Front

Give an example of a continuous random variable.

Back

An example of a continuous random variable is the height of students in a classroom.

Front

What is the probability mass function (PMF)?

Back

The probability mass function (PMF) is a function that gives the probability that a discrete random variable is exactly equal to some value.

Front

What is the probability density function (PDF)?

Back

The probability density function (PDF) is a function that describes the likelihood of a continuous random variable taking on a particular value.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Front

How do you determine if a variable is discrete or continuous?

Back

A variable is discrete if it can take on a countable number of values, while it is continuous if it can take on any value within a range.

Front

What is an example of a situation that involves a discrete random variable?

Back

An example is counting the number of students who pass an exam.

Tags

CCSS.6.SP.A.1