Suppose that the random variables Y1 and Y2 have joint PDF f(y1,y2) given by:

1. Suppose lilat [he randumvm'iables Y1 and Y1; havejoimpmbahitydemitymmfwhyg) givenby: !\" 5'2)= 592192 "Sy1sm.yl+m52 ' D eisewhere (3) Draw the region where fun, ya) 5 i]. (b) Showmtmemginaldenxityufisalktadeusitywila= Band= 2_ (c) Derive the marshal nieusity of Y; (5] Derive the mndiana! density {1ng given Y1 = 5-1 (e) ani ma 4 1.1m = .30) (f) lei E(Yam = an)