Question: Let X be a Gaussian(1, 4) random variable. (a) Calculate P[X (a) (b) (c) (d) Calculate PIA' < 21. You may leave your answer in

Let X be a Gaussian(1, 4) random variable.

(a) Calculate P[X

(a) (b) (c) (d) Calculate PIA' < 21. You may leave your answer in terms of the standard normal CDF Calculate PIX < ()IX < 21. You may leave your answer in terms of the standard normal CDF (b(z). Calculate E[2X + 31 and Var[2X + 31. Let Y = 2X + 3. What kind of a random variable is Y?

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