Let W have a U(π ,2pi) distribution. What is larger: E( sin (W)) or sin (E(W)) ?


Question: Let \(W\) have a \(U\left( \pi ,2\pi \right)\) distribution. What is larger: \(E\left( \sin \left( W \right) \right)\) or \(\sin \left( E\left( W \right) \right)\) ?

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