If $U$ is distributed according to the uniform distribution on $[0, \pi/2]$, and $Y=\sin(U)$, find $V(Y)$. Is the arcsine distribution appropriate, or is there any simpler way of determining the variance?
2026-04-01 23:13:19.1775085199
Variance of $Y=\sin(U)$ where $U$ is uniformly distributed
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