7 VARIABLES ALEATOIRES PARTICULIERES - APPLI

B(n, p) = p n
Pλ=λ
N(µ, σ) = µ σ
χ2
(n)=χ2n
t(n)=n
Fm,n =m n
x
P[B(3, .2) = 1] = x P [N(0,1) >−1] = x
P[B(15, .4) ≤10] = x P [−2< N(0,1) <3] = x
P[B(9, .8) <3] = x P [N(0,1) <−3] = x
P[2 < B(10, .5) <7] = x P [N(0,1) < x] = 0,94
P[B(5, .3) ≤x] = 0,97 P[−x < N(0,1) < x] = 0,9
P[P4.4≤4] = x P [χ2
(17) ≤x] = 0,95
P[P8.4=X] = 0,129 P[χ2
(5) > x] = 0,9
P[Px= 9] = 0,0363 P[t(20) < x] = 0,999
P[P4>5] = x P [−x < t(10) < x] = 0,9
P[N(0,1) ≤1,17] = x P [F3,8≤x] = 0.95
P[N(10,3) ≤5] = x P [F11,16 ≤x] = 0,9
P[N(10,3) = 5] = x P [F20,3≤x] = 0,1

x
t
t

QI
QI > 100
QI
QI ≥135
QI
QI
N(100,10)

x
V N(µ, σ)W=aV +b
V N(µ, σ)P[V≥16] = 0,1492 P[V≥9] = 0,5987
µ σ
V µk∀k
V W a1a2
S= min(V, W )T= max(V, W )