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Justifying the difference between discrete and continuous variables

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Please help me calculate the following:
a. The number of defects in a roll of carpet
b. The distance baseball travels in the air after being hit
c. Number of points scored during a basketball game
d. square footage of a house

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The solution gives detailed steps on justifying the difference between discrete and continuous variables.

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The discrete variable is the variable that you can count .

The continuous variable is the variable that you can not count.

So

a. The ...

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