Question: (15 points) Let X be a normal random variable with mean 2 and vari- ance 4. That is, X~N(2, 4). Let Y be a

(15 points) Let X be a normal random variable with mean 2

(15 points) Let X be a normal random variable with mean 2 and vari- ance 4. That is, X~N(2, 4). Let Y be a normal random variable with mean 4 and variance 16. That is, YN(4, 16). Suppose the random variables X and Y are independent. Find P(3-1.965

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