Solution
= Solution
Independence gives
$$
\boxed{f_\mu(x_1,x_2)
=\frac1{2\pi}
\exp\left[-\frac12\left((x_1-\mu)^2+(x_2-\mu)^2\right)\right].}
$$
= Solution
Independence gives
$$
\boxed{f_\mu(x_1,x_2)
=\frac1{2\pi}
\exp\left[-\frac12\left((x_1-\mu)^2+(x_2-\mu)^2\right)\right].}
$$