Question

Let X and Y have the joint pdf \(f(x,y) = 8x(1-y)\)
0 11 years ago

Answer 1

I stuck at compute \(P(Y<X, X\leq 1/4)\)

Answer 2

\[P(X<Y|X \le \frac{1}{4})=\frac{P(X \le Y,X \le \frac{1}{4})}{P(X \le \frac{1}{4})}\]
ok so you said you are having a problem with the numerator
\[P(X \le Y,X \le \frac{1}{4})=\int\limits_{0}^{1}\int\limits_{0}^{1-y}8x(1-y) dx d y\]
if I remember right

Answer 3

The limits is not good to me.

Answer 4

yes I forgot to include the inequalities

Answer 5

0<y<1 and 0<x<1-y
----
x<=1/4
x<=y
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ok I understand how they got their setup