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Let X and Y be normal random variables with means 0 and 1, respectively, and variances 1 and 4, respectively (X N (0, 1), Y

Let X and Y be normal random variables with means 0 and 1, respectively, and variances 1 and 4, respectively (X N (0, 1), Y N (1, 4)). a. (5 pts) Find P(X 1.5) and P(X 1). b. (5 pts) Find PDF of Y 1 . 2 c. (5pts)FindP(1Y 1)

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