9. Two continuous radom variables Y and Y2 have the following joint probability density function. 3y2 {? 1< y2 < Y1 < ; f (y1, Y2) Yi 0, elsewhere. (a) Find P(Y1+Y2 < 2). (b) Find the pdf of U = Y?.

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9. Two continuous radom variables Y and Y2 have the following joint probability density function.
3y2
{?
1< y2 < Y1 < ;
f (y1, Y2)
Yi
0,
elsewhere.
(a) Find P(Y1+Y2 < 2).
(b) Find the pdf of U = Y?.
Transcribed Image Text:9. Two continuous radom variables Y and Y2 have the following joint probability density function. 3y2 {? 1< y2 < Y1 < ; f (y1, Y2) Yi 0, elsewhere. (a) Find P(Y1+Y2 < 2). (b) Find the pdf of U = Y?.
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