Question: Question 1. (10 marks) Consider two independent random variables X and Y. X is Gaussian with mean 0.5 and variance 1 and Y is Bernoulli

Question 1. (10 marks) Consider two independent random variables X and Y. X is Gaussian with mean 0.5 and variance 1 and Y is Bernoulli with parameter 0.2. Derive the probability that X > Y2. Express the probability in terms of the CDF of the standard Gaussian. Question 2. (15 marks) The joint PDF of random variables X and Y is given by cry 0 Y. (c) (7 marks) Derive P[X + 0.5 > Y]

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What is its position?

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