. Let X and Y be continuous random variables with joint probability density function given by Sc, fxy(xy) = {C 10, 0 < x < y < 1 otherwise a) Find the value of c. b) Find the marginal distributions of X and Y. c) Find the conditional distribution of Y given X. d) Find the E(Y) and Var(Y).

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7. Let X and Y be continuous random variables with joint probability density
function given by
fxy(xy):
Sc,
(0,
0 < x < y < 1
otherwise
a) Find the value of c.
b) Find the marginal distributions of X and Y.
c) Find the conditional distribution of Y given X.
d) Find the E(Y) and Var(Y).
Transcribed Image Text:7. Let X and Y be continuous random variables with joint probability density function given by fxy(xy): Sc, (0, 0 < x < y < 1 otherwise a) Find the value of c. b) Find the marginal distributions of X and Y. c) Find the conditional distribution of Y given X. d) Find the E(Y) and Var(Y).
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