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 point)ResponsesIt is discrete because the gallons of gasoline are measured in whole numbers.It is discrete because the gallons of gasoline are measured in whole numbers.It is discrete because the study is confined only to gas stations in town. It is discrete because the study is confined only to gas stations in town. It is continuous because the number of gallons can take on any value over a range of values.It is continuous because the number of gallons can take on any value over a range of values.It is continuous because there is no way to determine how many people will purchase gasoline.
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The correct response is: It is continuous because the number of gallons can take on any value over a range of values.
This is because the amount of gasoline purchased can be measured in fractions of gallons, not just whole numbers, making it a continuous variable. Continuous variables can take any value within a given range, while discrete variables take on distinct, separate values (like whole numbers).
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