énoncé

\
a∈Rf x →a
x3x>1
0x < 1X
X
X
a∈Rf x →ax(1 −x) 0 6x61
0
Y
Y
Y
X Y [0; 1]
U= inf(X, Y )V= sup(X, Y )x
(U > t)=(X > t)∩(Y > t) (V6t)=(X6t)∩(Y6t)
G g U
H h V
U
U+V X Y V
X λ
U V U = 1 −X V =−ln X
λ
U V X [0,1]
X V λ
X Y =φ(X)
X[−1,1]
Z=eX
U=aX +b a 0
Y=X2
U[0; 1]
U
F U
x P (U > x)
U

\
U1U2
V
U1U2
x(V > x)=(U1> x)∩(U2> x)
x P (V > x)P(U > x)
V G R
G(x) = 0 x < 0
G(x) = 2x−x2x∈[0; 1]
G(x) = 1 x > 1
g V
V
Y[0; 1]
k∈ {1,2,3}Ykk
Yk[0; 1]
X
t∈[0; 1] (X6t) (Y16t) (Y26t) (Y36t)
X G
X X
j∈ {1,2,3}Ejj
EjX
A
A∩E1A∩E2A∩E3Y1Y2Y3
A
X R
r=OM
r r3V=4
3πr3