Find the density of X = max(Y1,Y2), where Y1 and Y2 are independent random variables with densities 1 -1/2 15 (² – ), 0< y2 < 1, 1/2 0 < y1 < 1, fy, (y1) = { 21 0, fr, (42) = 4 otherwise, 0, otherwise.

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Find the density of X = max(Y1,Y2), where Y1 and Y2 are independent random variables
with densities
15
1/2
-1/2
fy, (y1) = { 21
0,
(42 – 2), 0< y2 < 1,
0 < y1 < 1,
fy, (Y2) =
4
otherwise,
0,
otherwise.
Transcribed Image Text:Find the density of X = max(Y1,Y2), where Y1 and Y2 are independent random variables with densities 15 1/2 -1/2 fy, (y1) = { 21 0, (42 – 2), 0< y2 < 1, 0 < y1 < 1, fy, (Y2) = 4 otherwise, 0, otherwise.
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