\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider the function \(f(x) = \frac{3}{4}(1 - x^2)\), defined on the interval \([-1, 1]\).
Verify that \(f(x)\) is a probability density function on the interval \([-1, 1]\).
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