Consider the random variables X and Y with the joint density function shown to the right. (a) Find the marginal distributions of X and Y. 1 1 15 ** 15 Y, Osxs3, 0sys2 f(x,y) = 0, elsewhere (b) Find P(X> 2.6, Y>0.8). (a) Select the correct choice below and fill in the answer box to complete your choice. A. The marginal distribution of X is g(x) = for 0sxs3. B. The marginal distribution of X is g(x) =, for 0sys2. %3D

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Consider the random variables X and Y
with the joint density function shown to the
right.
(a) Find the marginal distributions of X and
1
f(x,y) = { 15** 15 Y, 0sxs3, 0 sys2
Y.
0,
elsewhere
(b) Find P(X> 2.6, Y>0.8).
(a) Select the correct choice below and fill in the answer box to complete your choice.
A. The marginal distribution of X is g(x)%3D
for 0<x<3.
O B. The marginal distribution of X is g(x) =
, for 0sys2.
%3D
Transcribed Image Text:Consider the random variables X and Y with the joint density function shown to the right. (a) Find the marginal distributions of X and 1 f(x,y) = { 15** 15 Y, 0sxs3, 0 sys2 Y. 0, elsewhere (b) Find P(X> 2.6, Y>0.8). (a) Select the correct choice below and fill in the answer box to complete your choice. A. The marginal distribution of X is g(x)%3D for 0<x<3. O B. The marginal distribution of X is g(x) = , for 0sys2. %3D
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