Problem 2.7: The joint probability distribution of the continuous random variables X and Y is described as below. Find: (a) c (b) P((Y – X) > 1) (c) the marginal distributions fx(x) and fy(y) (d) whether the random variables X and Y are statistically independent. (e) f(y|x) (f) P(Y > 1.5|X = 1) Scry for 0

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Problem 2.7: The joint probability distribution of the continuous random
variables X and Y is described as below. Find:
(a) c
(b) P((Y - X) > 1)
(c) the marginal distributions fx(x) and fy(y)
(d) whether the random variables X and Y are statistically independent.
(e) f(yx)
(f) P(Y > 1.5|X = 1)
Scry for 0< r < 2, 2 < y <3
f(r, y) =
elsewhere
Transcribed Image Text:Problem 2.7: The joint probability distribution of the continuous random variables X and Y is described as below. Find: (a) c (b) P((Y - X) > 1) (c) the marginal distributions fx(x) and fy(y) (d) whether the random variables X and Y are statistically independent. (e) f(yx) (f) P(Y > 1.5|X = 1) Scry for 0< r < 2, 2 < y <3 f(r, y) = elsewhere
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