\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider the function \(f(x) = \sin(x)\), defined on the interval \([0, \frac{\pi}{2}]\).
Verify that \(f(x)\) is a probability density function on the interval \([0, \frac{\pi}{2}]\).
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