Question

A study is being conducted on the amount of gasoline purchased on an average day in town. A random variable is used to identify the amount in gallons. Is the variable in this study discrete or continuous? Why?

1. It is discrete because the gallons of gasoline are measured in whole numbers.

2.It is continuous because there is no way to determine how many people will purchase gasoline.

3.It is discrete because the study is confined only to gas stations in town.

4.It is continuous because the number of gallons can take on any value over a range of values.

Answer 1

The Answer is #4) It is continuous because the number of gallons can take on any value over a range of values.

Answer 2

4.It is continuous because the number of gallons can take on any value over a range of values.

Explanation:

Discrete variables are ones that are disconnected. This means they take only specific values, with no values inbetween.

Continuous variables are ones that can take any value in a given range.

When measuring the gallons of gas, we can have partial gallons of gas; this means the variable can take any value in a given range, so it is continuous.