The density fnc. of X and Y is f(x,y)=x+y for 0<x<1, 0<y<1 and 0 otherwise. a-Are X and Y independent? b-Find the density function of X c- Find P(X+Y<1)
Follow Math Help Forum on Facebook and Google+
(a) dependent by inspection, the joint density does NOT factor. (b) $\displaystyle f_X(x)=\int_0^1 f(x,y)dy=x+.5$ on (0,1). and I'll let you do (c) $\displaystyle \int_0^1\int_0^{1-x} f(x,y)dydx$.
View Tag Cloud