Question: CS70 1 Predictable Gaussians Note 21 Let Y be the result of a fair coin flip, and X be a normally distributed random variable with

CS70 1 Predictable Gaussians Note 21 Let Y be the result of a fair coin flip, and X be a normally distributed random variable with parameters dependent on Y. That is, if Y = 1, then X N(1, 2 1 ), and if Y = 0, then X N(0, 2 0 ). (a) Sketch the two distributions of X overlaid on the same graph for the following cases: (i) 2 0 = 2 1 ,0 = 1 (ii) 2 0 = 2 1 ,0 = 1

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