1.8 (

) www By using a change of variables, verify that the univariate Gaussian distribution given by (1.46) satisfies (1.49). Next, by differentiating both sides of the normalization condition

 ∞

−∞

N x|μ, σ2 dx = 1 (1.127)

with respect to σ2, verify that the Gaussian satisfies (1.50). Finally, show that (1.51)

holds.