IXL - Identify discrete and continuous random variables (Algebra 2 practice)

A student repeatedly rolls a die.

is the number of rolls needed before the student rolls a 6.

Is the random variable

discrete or continuous?

discrete

continuous

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Learn with an example

question

is the number of times that a randomly chosen student has traveled out of the country.

Is the random variable

discrete or continuous?

discrete

continuous

key idea

A random variable is discrete if the set of values it takes is finite, or can be organized as a list. For example, a random variable that takes only whole-number values is always discrete.

A continuous random variable is a random variable that is not discrete. A random variable that can vary continuously, or, in other words, can take any value in an interval, is continuous.

For example, the number of pages in a randomly chosen book is discrete because the number of pages is always a whole number. In contrast, its weight is continuous because the weight of a book can vary continuously.

solution

is a discrete random variable. The number of times that a student has traveled out of the country is a whole number.

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