The joint density function of X and Y is given by C· x? for x, y > 0, 4.x2 + y? < 1, f(x, y) = 0. || otherwise.

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23. The joint density function of X and Y is given by
C. xy,
for x, y > 0, 4.x2 + y? < 1,
f(x, y)
0,
otherwise.
Compute c, the marginal densities, and the conditional expectations E(Y |
X = x) and E(X | Y = y).
%3D
30
Show that a
suitable power
of a Weibull-distributed random variable
Transcribed Image Text:23. The joint density function of X and Y is given by C. xy, for x, y > 0, 4.x2 + y? < 1, f(x, y) 0, otherwise. Compute c, the marginal densities, and the conditional expectations E(Y | X = x) and E(X | Y = y). %3D 30 Show that a suitable power of a Weibull-distributed random variable
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