Question: (1 point) The joint probability density function of random variables ? Xand ? Yis given by ?(?,?)={??3?90if0???1, 0???1,otherwise. f ( x , y ) =

(1 point) The joint probability density function of random variables ? Xand ? Yis given by ?(?,?)={??3?90if0???1, 0???1,otherwise. f ( x , y ) = { c x 3 y 9 if0?x?1, 0?y?1, 0otherwise.(a) Find ? c . ?= c =(b) Find the expected values of ? Xand ? Y .?[?]= E [ X ] =and ?[?]= E [ Y ] =(c) Are ? Xand ? Yindependent? (enter YES or NO)

(1 point) The joint probability density function of random variables X and Y is given by 0?)!9 if 03x51, OSySI, 0 otherwise. f(x,y) = { (3) Find c. c=D (b) Find the expected values of X and Y. E[X] =8 and E[Y] =C] (6) Are X and Y independent? (enter YES or NO) C]

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