Exercise 6 Suppose X and Y are random variables with joint density f(x, y) = c(x² + y² — xy) for 0 < x, y < 1, where c is a constant. a) c = ¹2. b) Cov(X,Y)= -7/1/5. c) Corr (X,Y) = 3. 13

A First Course in Probability (10th Edition)
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Exercise 6 Suppose X and Y are random variables with joint density f(x, y) = c(x² + y² − xy) for
0 < x, y < 1, where c is a constant.
a) c = ¹1/2²2.
5
b) Cov(X,Y)= -7/1/5.
2
75°
4
c) Corr(X,Y) = 1/3
Transcribed Image Text:Exercise 6 Suppose X and Y are random variables with joint density f(x, y) = c(x² + y² − xy) for 0 < x, y < 1, where c is a constant. a) c = ¹1/2²2. 5 b) Cov(X,Y)= -7/1/5. 2 75° 4 c) Corr(X,Y) = 1/3
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