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(15 points). Consider a random experiment where we draw uniformly and indepnedently $n$ numbers, $X_{1}, X_{2}, ldots, X_{n} $, from the interval $[0,1] .$ Let

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(15 points). Consider a random experiment where we draw uniformly and indepnedently $n$ numbers, $X_{1}, X_{2}, \ldots, X_{n} $, from the interval $[0,1] .$ Let $X_{(1)}$ be the smallest of the $n$ numbers. Determine the pdf of $X_{(1)}$. SP.AS368

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