1. Make a contour or surface plot of the bivaritate Gaussian distribution with parameters: a) \mu_1 = 1, \mu_2 = 0, \sigma_1 = 1, \sigma_2 = 2, \rho_{12} = 0; b) \mu_1 = 0, \mu_2 = 0, \sigma_1 = 1, \sigma_2 = 2, \rho_{12} = .8; c) \mu_1 = 0, \mu_2 = 0, \sigma_1 = 1, \sigma_2 = 2, \rho_{12} = -.4.

2. If x and y are distributed according to a bivariate distribution with parameters (\mu_1, \mu_2, \sigma_1, \sigma_2, \rho_{12}), explicitly compute the conditional distribution of y given x. (Prove your answer.)

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