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Mathematics

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Let X and Y be normal random variables with means 0 and 1, respectively, and variances 1 and 4, respectively. (a) Find P(X ≤ 1.5) and P(X ≤ -1) (b) Find the probability density function (PDF) of (Y-1)/2. (c) Find P(-1 ≤ Y ≤ 1).

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