(d) Calculate the conditional probability P(Y> x =). (e) Calculate the probability P(Y > ¹). (f) Evaluate E(X|Y = y) for any fixed y with 0 ≤ y ≤1.

MATLAB: An Introduction with Applications
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The joint p.d.f. of the r.v.'s X and Y is given by
fx,y(x, y) =
[(x + y²), 0 ≤ x ≤ 1,0 ≤ y ≤ ¹,
0, otherwise.
Transcribed Image Text:The joint p.d.f. of the r.v.'s X and Y is given by fx,y(x, y) = [(x + y²), 0 ≤ x ≤ 1,0 ≤ y ≤ ¹, 0, otherwise.
(d) Calculate the conditional probability P(Y > ½|x = 3).
(e) Calculate the probability P(Y > ½).
(f) Evaluate E(X|Y = y) for any fixed y with 0 ≤ y ≤ 1.
Transcribed Image Text:(d) Calculate the conditional probability P(Y > ½|x = 3). (e) Calculate the probability P(Y > ½). (f) Evaluate E(X|Y = y) for any fixed y with 0 ≤ y ≤ 1.
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