MAI391_-_SU_2024_-_RE_2450.webp
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MAI391_-_SU_2024_-_RE_2450.webp

Kizspy | Question: 25
(Choose 1 answer)
(See picture)
A. (i)
B. (ii)
C. (iii)
D. (iv)
Let p(x,y)=(3/13)xy^{2} with 0\le x\le1, 1\le y\le3 be the joint probability function of some continuous random variables X and Y. Find the marginal probability distribution p(y) of Y.
(i)p(y)=(1/4)y1\le y\le3
(ii)p(y)=(3/13)y^{2}-(1/2)1\le y\le3
(iii)p(y)=(3/26)y^{2},1\le y\le3
(iv)p(y)=(1/2)y-(1/2)1\le y\le3

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