>>488
計算すりゃいいだけだろ。
-logf(X)=-log[(1/(√(2π)σ))exp(-(X-μ)^2/(2σ^2))]
=log(√(2π)σ)+(X-μ)^2/(2σ^2)

H(X)=E[-logf(X)]=E[log((√2π)σ)+(X-μ)^2/(2σ^2)]
=…
後は自分でやれ。