Question: 4. [6 points] La distribution conjointe de deux variables continues X et Y est dfinie par : si 0x2,0 y 2 ailleurs (3xy2 f(x,y)

4. [6 points] La distribution conjointe de deux variables continues X et Y est dfinie par : si 0x2,0 y 2 ailleurs (3xy2 f(x,y) = 16 0, a) b) Les variables alatoires X et Y sont-elles indpendantes? [1 point] c) Calculez la moyenne et la variance de X. [2 points] Trouvez les densits de probabilits marginales fx et fy de X et Y. [2 points] d) Trouvez P(X Y). [1 point]

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