Let f(mu, sigma) be the density function of a normally distributed random variab

Question

Let f(mu, sigma) be the density function of a normally distributed random variable in R^2. Plot isocontours of the following functions. f(mu, sigma), where mu = [1 1] and sigma = [1 0 0 2]. f(mu, sigma), where mu = [-1 2] and sigma = [2 1 1 3]. f(mu_1, sigma_1) - f(mu_2, sigma_2), where mu_1 = [0 2], mu_2 = [2 0] and sigma_1 = sigma_2 = [2 1 1 1]. f(mu_1, sigma_1) - f(mu_2, sigma_2), where mu_1 = [0 2], mu_2 = [2 0], sigma_1 = [2 1 1 1] and sigma_2 = [2 1 13]. f(mu_1, sigma_1) - f(mu_2, sigma_2), where mu_1 = [1 1], mu_2 = [-1 -1], sigma_1 = 2 0 0 1] and sigma_2 = [2 1 1 2].

Explanation / Answer

these rae made by threre matrix multiplication and and then conditonal probality is applied and the joint probability is defined

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