Question: 18. Consider the context of Exercise 17. (a) 9It is given that the marginal density of X is fX(x) = 12x 0 24x dy =

18. Consider the context of Exercise 17.

(a) 9It is given that the marginal density of X is fX(x) = 1−2x 0 24x dy = 24x(1 − 2x), 0 ≤ x ≤ 0.5. Find fY|X=x(y) and the regression function E(Y|X = x).

Plot the regression function and give the numerical value of E(Y|X = 0.3).

(b) Use the Law of Total Expectation to find E(Y).

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