Please provide a detailed help on the following question, thank you.

Let X and Y be Standard. johltly Gaussian random variables (Lap; = \"y = 0, 0;; = a} = 1] with joint donsity 1 3t2 2 + fxv (133') = fay-{WW [_ 2(1p32] 3'2 whore p i3 a constant. i) Show by direct oomputation that cav[X,Y) = p. (Hint: Conaider creating a porct square on the numerator of the exponmtial term) i) Compute tho conditional density fh using 33:50:): Jaw-(a, y)/fg(a.), and Show that it- oorropond to N{ap, (1 p2. (Hint: Same as above) 1.11) Compm'yo tho conditional axpmtaon [Y|X = a]