(a) Show that X and Y are not independent. (b) Find P(X>0.9 | Y=0.7). f(x,y) = { (a) Select the correct choice below and fill in the answer box to complete your choice. O A. f(x,y) Since f(xly)=h(y) 0, elsewher , for 0

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I need help with this parts a and b

The joint density function of the random variables X and Y is given to the
right.
(a) Show that X and Y are not independent.
(b) Find P(X>0.9 | Y=0.7).
(a) Select the correct choice below and fill in the answer box to complete your choice.
O A.
O B.
O C.
O D.
Since f(xly) =
Since f(xly) =
Since f(xly) =
Since f(xly) =
f(x,y)
h(y)
f(x,y)
h(y)
f(x,y)
h(y)
f(x,y)
h(y)
f(x,y) = {
=
0<x<2, 0<y<2-x
4*,
0, elsewhere
, for 0<x<2-y, involves the variable y, X and Y are not independent.
for 0<x<2-y, is constant, X and Y are not independent.
for 0 <y<2-x, involves the variable x, X and Y are not independent.
, for 0<x<2-y, is a function of only the variable x, X and Y are not independent.
Transcribed Image Text:The joint density function of the random variables X and Y is given to the right. (a) Show that X and Y are not independent. (b) Find P(X>0.9 | Y=0.7). (a) Select the correct choice below and fill in the answer box to complete your choice. O A. O B. O C. O D. Since f(xly) = Since f(xly) = Since f(xly) = Since f(xly) = f(x,y) h(y) f(x,y) h(y) f(x,y) h(y) f(x,y) h(y) f(x,y) = { = 0<x<2, 0<y<2-x 4*, 0, elsewhere , for 0<x<2-y, involves the variable y, X and Y are not independent. for 0<x<2-y, is constant, X and Y are not independent. for 0 <y<2-x, involves the variable x, X and Y are not independent. , for 0<x<2-y, is a function of only the variable x, X and Y are not independent.
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