Suppose that, as in Exercises 5.11 and 5.79, Y1 and Y2 are uniformly distributed over

Chapter 5, Problem 5.95

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Suppose that, as in Exercises 5.11 and 5.79, Y1 and Y2 are uniformly distributed over the triangle shaded in the accompanying diagram. (1, 0) (1, 0) (0, 1) y1 y2 a Find Cov(Y1, Y2). b Are Y1 and Y2 independent? (See Exercise 5.55.) c Find the coefficient of correlation for Y1 and Y2. d Does your answer to part (b) lead you to doubt your answer to part (a)? Why or why not?

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