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f(x, y) o, otherwise. (a) Find c. (b) Find P(Y >X) (c) Find marginal pdf's of X and of Y (d) Are X and Y independent?

f(x, y) o, otherwise. (a) Find c. (b) Find P(Y >X) (c) Find marginal pdf's of X and of Y (d) Are X and Y independent?

MATLAB: An Introduction with Applications
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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X and Y are jointly continuous with joint pdf f (r, y) = { cxy if 0 <x, 0 < y, x + y < 1 otherwise. (a) Find c. (b) Find P(Y > X) (c) Find marginal pdf's of X and of Y (d) Are X and Y independent? (?? Given: We start (as always!) by drawing the support set. (See below, left.) ソテX 1 Blue: subset support set of support set with y>x 1 0.5 1 x y=1-x Hints for (a): Range of y is from 0 to 1 – x Range of x is from 0 to 1 Hints for (b): Range of y is from x to 1 – x Range of x is from 0 to 0.5 -
Transcribed Image Text:X and Y are jointly continuous with joint pdf f (r, y) = { cxy if 0 <x, 0 < y, x + y < 1 otherwise. (a) Find c. (b) Find P(Y > X) (c) Find marginal pdf's of X and of Y (d) Are X and Y independent? (?? Given: We start (as always!) by drawing the support set. (See below, left.) ソテX 1 Blue: subset support set of support set with y>x 1 0.5 1 x y=1-x Hints for (a): Range of y is from 0 to 1 – x Range of x is from 0 to 1 Hints for (b): Range of y is from x to 1 – x Range of x is from 0 to 0.5 -
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