Question

6 The joint density function of the random vari-ables X and Y is f(x, y)=\left\{\begin{array}{ll}

6 x, & 0

0, & \text { elsewhere. }

\end{array}\right. (a) Show that X and Y are not independent. (b) Find P(X>0.3 | Y=0.5).

Fig: 1

Fig: 2

Fig: 3

Fig: 4