Front

What is a discrete random variable?

Back

A discrete random variable is a type of variable that can take on a countable number of distinct values. Examples include the number of students in a class or the number of points scored in a game.

Front

What is a continuous random variable?

Back

A continuous random variable is a type of variable that can take on an infinite number of values within a given range. Examples include height, weight, and time.

Tags

CCSS.6.SP.A.3

Front

Give an example of a discrete random variable.

Back

An example of a discrete random variable is the number of cars in a parking lot.

Front

Give an example of a continuous random variable.

Back

An example of a continuous random variable is the amount of rainfall in a month.

Tags

CCSS.HSS.ID.A.4

Front

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

Back

To determine if a variable is discrete or continuous, consider whether the variable can take on a finite number of values (discrete) or an infinite number of values within a range (continuous).

Front

What is the significance of understanding discrete and continuous random variables in statistics?

Back

Understanding the difference between discrete and continuous random variables is crucial for selecting appropriate statistical methods and for accurately interpreting data.

Front

What type of random variable is represented by the number of times a student is late to class?

Back

The number of times a student is late to class is a discrete random variable.

Front

What type of random variable is represented by the time it takes for a light bulb to burn out?

Back

The time it takes for a light bulb to burn out is a continuous random variable.

Front

What is the role of probability distributions in relation to random variables?

Back

Probability distributions describe how probabilities are assigned to the different possible values of a random variable, whether discrete or continuous.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Front

What is a probability mass function (PMF)?

Back

A probability mass function (PMF) is a function that gives the probability that a discrete random variable is equal to a specific value.