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give detailed solution please 2. (Lesson 2.10: Conditional Expectation.) BONUS: Again suppose that f(x, y) = 6r for 0 Sa Sys1. Hint (you may already

give detailed solution please

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2. (Lesson 2.10: Conditional Expectation.) BONUS: Again suppose that f(x, y) = 6r for 0 Sa Sys1. Hint (you may already have seen this someplace): The marginal p.d.f. of X turns out to be fx(x) = 6x(1-x) for 0 Sr $ 1. Find E[ YX = x]. (a) EY X = x] =1/2, 05xx1 (b) EYX = = #, 05:51 (c) EYIX = = 2' 1ty, OSys1 (d) EX |Y = y] = 2. 1ty, o Sys1

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