Question: Let X , Y be two random variables having the following joint probability density functions: Find (a) the constant c; (b) the marginal probability density

Let X , Y be two random variables having the following joint probability density functions:

(a) fx.x(x,y) Sexe-(y+1) if x>0, y>0 otherwise. (b) fx.x(x,y) Sc(1 + x

Find

(a) the constant c;

(b) the marginal probability density function of X and Y;

(c) the conditional probability density function of X given Y = y.

(a) fx.x(x,y) Sexe-(y+1) if x>0, y>0 otherwise. (b) fx.x(x,y) Sc(1 + x + y)" if x>0, y>0, n > 2 otherwise.

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