Question: 3. In the context of the normal simple linear regression model Y|X = x N(9.3 + 1.5x, 16), let Y1, Y2 be independent observations

3. In the context of the normal simple linear regression model Y|X = x ∼ N(9.3 + 1.5x, 16), let Y1, Y2 be independent observations corresponding to X = 20 and X = 25, respectively.

(a) Find the 95th percentile of Y1.

(b) Find the probability that Y2 > Y1. (Hint. See Example 4.6-4.)

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