Question: Let fu, 2) be the probability density function of a normally distributed random variable in R2. Write code to plot the isocontours of the following

 Let fu, 2) be the probability density function of a normally

Let fu, 2) be the probability density function of a normally distributed random variable in R2. Write code to plot the isocontours of the following functions, each on its own separate figure. You are free to use Matplotlib, NumPy, and SciPy. (a) (2 points) f(u, ), where = 11 2] (b) (1 point)f(, ), where j = and = 4 (c) (2 points) f\u1, 2) - f\u2, 2), where ji = =0 [1] and 5=[ 2] 13\|-- [ --- 2-2- 21- 121 = [2 11 = - - - [8] = = { 1 m 2 = 1 (2)- -4---) = = = 7 und 2 = [2] = () [ ] 2 | = and = , = 2 2 = 2 (d) (2 points) f(1,2)-f(u2, 22), where hi = H2 = and (e) (1 point) f(u1,2)-f(u2, 2), where = U2 = =

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