Question: .............................. Let X be a standard normal random variable Another random variable is determined as follows We flip a fair coin (independent from X)' In

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Let X be a standard normal random variable Another random variable is determined as follows We flip a fair coin (independent from X)' In case of Heads, we let Y = X' In case of Tails, we let Y = X' 1. Is Y normal? Justify your answer. 0 yes 0 no 0 not enough information to determine 2' Compute Cov (X, Y). Cov (X, Y) : Are X and Y independent? 0 yes 0 no 0 not enough information to determine

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