Given that X is uniformly distributed in the range [1, 3] and Y = X², what is the PDF of the random variable Y? O a. fr (y) y0.5 1

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Given that X is uniformly distributed in the range [1, 3] and Y = X², what is the PDF of the random variable Y?
O a.
fr(y)
y0.5
1<y<9
4
y0.5 – 1
-, 1< y<9
4y0.5
Ob.
fy (y)
1- y0.5
-,1< y<9
O c.
fr (y)
4y0.5
d.
1
fr (y)
1< y< 9
4y0.5
Transcribed Image Text:Given that X is uniformly distributed in the range [1, 3] and Y = X², what is the PDF of the random variable Y? O a. fr(y) y0.5 1<y<9 4 y0.5 – 1 -, 1< y<9 4y0.5 Ob. fy (y) 1- y0.5 -,1< y<9 O c. fr (y) 4y0.5 d. 1 fr (y) 1< y< 9 4y0.5
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