Let X and Y be two continuous random variables with the joint pdff$($x$,$ y$)=1$ if $0<=$x$,$ y$<=1$ and x $+$ y$<=-1,$ or $-1<=$ x$<=0,0<=$y $<=1$ and x $+$ y$<=1$ and zero otherwise.$(1)$ Using the joint pdf$,$ find the marginal pdf of X$.$ Specify its support$(2)$ Using the joint pdf$,$ find the marginal pdf of Y $.$ Specify its support.$(3)$ Calculate the expectations of X and Y $.(4)$ Calculate the variances of X and Y $.(5)$ Calculate the covariance of X and Y $.$ Are X and Y correlated?