(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.
(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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7ffb148-54c7-4dce-915c-269933801524%2Fd3b30b96-e0c4-474e-82ca-c90cf2128dbf%2Fpfjp9f_processed.png&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7ffb148-54c7-4dce-915c-269933801524%2Fd3b30b96-e0c4-474e-82ca-c90cf2128dbf%2Frk7xnli_processed.png&w=3840&q=75)
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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