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1. Let the joint p.d.f. of X and Y is defined by ƒ(x,y)=x+³, x=1,2, y=1,2,3,4. 32 (a) Find f(x), marginal p.d.f of X, ₂ (y), marginal p.d.f of Y, (i) (ii) (iii) P(X>Y),

1. Let the joint p.d.f. of X and Y is defined by ƒ(x,y)=x+³, x=1,2, y=1,2,3,4. 32 (a) Find f(x), marginal p.d.f of X, ₂ (y), marginal p.d.f of Y, (i) (ii) (iii) P(X>Y),

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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1. Let the joint p.d.f. of X and Y is defined by f(x,y)= (a) Find (1) f(x), marginal p.d.f of X, (ii) f₂(y), marginal p.d.f of Y, (iii) P(X>Y), (iv) P(Y=2X), (v) P(X+Y=3), (vi) P(X ≤3-Y). (b) Are X and Y independent or dependent? 2 (c) Find the means and μ,, the variances and o², and the correlation y coefficient p. _x+y, x=1,2, y=1,2,3,4. 32
Transcribed Image Text:1. Let the joint p.d.f. of X and Y is defined by f(x,y)= (a) Find (1) f(x), marginal p.d.f of X, (ii) f₂(y), marginal p.d.f of Y, (iii) P(X>Y), (iv) P(Y=2X), (v) P(X+Y=3), (vi) P(X ≤3-Y). (b) Are X and Y independent or dependent? 2 (c) Find the means and μ,, the variances and o², and the correlation y coefficient p. _x+y, x=1,2, y=1,2,3,4. 32
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