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Let X and Y have joint p. fx,y(x,y)= k; x>0, y>0,x+y<1 0; otherwise show that k=2 Find the marginal p.

Q1: Let X and Y have joint p.d.f.
fx,y(x,y)= k; x>0, y>0,x+y<1
0; otherwise
show that k=2
Find the marginal p.d.f.s of X and Y

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541575_STAT.doc

Q1: Let X and Y have joint p.d.f.
fx,y(x,y)= k; x&gt;0, y&gt;0,x+y&lt;1
0; otherwise
show that k=2
Find the marginal p.d.f.s of X and Y
Solution:
1 1− x ∫ ∫ kdydx = 1
00 1 ⇒ k ∫ (1 − x...

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