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Consider a random sample of size $n$ according to the distribution of some continuous random variable $X$ where $\\var{a} < X <\\var{b}$.

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An individual order statistic has the same range as the distribution the random sample was drawn from.

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The range of the min $X_{(1)}$ and max $X_{(n)}$ of a random sample are different?

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Fill in the appropriate ranges below:

\n

[[0]] < $x_{(1)}$ < [[1]], [[2]] < $x_{(n)}$ < [[3]]

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