Rtas trabajo estadistica compleja

1. a) F(x)=e(χ²+4) X=0,1,2,3

X | F(x) |
0 | 4e |
1 | 5e |
2 | 8e |
3 | 13e |
∑ | 30e |
→→ →→ →→ →→ 30e=1.0 (Para que sea F de densidad deprobabilidad)
b) F(x)=e(2Cx)(3C3-x) X=0,1,2
X | F(x) |
0 | 1e |
1 | 6e |
2 | 3e |
∑ | 10e |
→→ →→ →→ 10e=1.0 →→ e=1/10
2. Discos De Salsa
P=4x(4x-1)(84) X=1, 2, 3, 4, 5,6
3. Calcetines…
P=6x(4x-1)(102)
4. F(x)= 16 para x=0,1,2,3,4,5,6.
Dado Corriente…

x | F(x) | |
1 | G | 100|
2 | G | 200 |
3 | G | 300 |
4 | P | -400 |
5 | G | 500 |
6 | P | -600 |
→→ →→ →→ E(X) = 1(100)+2(200)+3(300)-4(400)+5(500)-6(600)
E(X)=-1300 Pierde:$1300
5. C
C S = CCC,CCS, CSC, CSS
C S
C SCC, SCS, SSC, SSS
S
S
C MONEDA 3 VECES
C
SS
C
S
S
#c | F(X) |
0 | 1/8 |
1 | 3/8 |
2 | 3/8 |
3 | 1/8 |
E(X)=0(1/8)+1(3/8)+2(3/8)+3(1/8)
E(X)=1.5 (ESERANZA)
V(X)= ∑ [(χ²-F(x)].M²
V(X)=[(0-1/8)+(1-3/8)+(4-3/8)+(9-1/8)](1.5) ²
V(X)=29.25
6. 1/2/3/4l+2 l2+3l 2+4 l
l+3 l2+4l S= 3,4,5,6,7
l+4
E(x)=3(1/6)+4(1/6)+5(2/6)+6(1/6)+7(1/6)= E(x)=5.0
X | F(X) |
3 | 1/6 |
4 | 1/6 |
5 | 2/6 |
6 | 1/6 |
7 | 1/6 |
∑| 6/6 |
V(X)= [(9-1/6)+(16-1/6)+(25-2/6)+(36-1/6)+(49-1/6)
V(X)=134(5²)=3350
7.
X | F(X) |
5 | 1/12 |
7 | 1/12 |
9 | 2/4 |
11 | 1/4 |
13 | 1/6 |
17 | 1/6 |
E(X)=5(1/12)+7(1/12)+9(1/4)+11(1/4)+13(1/6)+(1/6)(17)=
E(X)=11.0
8. MAVERO*****
F(x)= 15 X= 1,2,3,4,5P(X≤1)=0
9. 3 Balotas 4N / 2V

P(X) =2x(63) X=0,1,2
10. Al Invertir en… G: 4000 P=0.3
P: 1000 P=0.7

Ganancia= (4000)(0.3)-1000(0.7)=500
Ganancia esperada= 500 Dólares
11.
G | P(X) |
250 | 0.22 |
100 | 0.36 |
0 | 0.28 |
-150 | 0.14 |
GargantillaE(X)=(250)(0.22)+100(0.36)+0(0.28)-150(0.14)=
E(X)=70
Ganancia =70

12. Un Piloto Perd Total : 0.002
50% : 0.010 Utilidad Promedio: 500.
25% : 0.100E(x)=0.002(1.0)+0.5(0.010)+0.25(0.100)=0.032
→Póliza =5000.032=$15.625.
13. Sea X, Variable … F(x)= a(3x-x²)
0 en los demás

0≤x≤3
x | F(x) |
0 | 0(a) |
1 | 2(a) |
2 | 2(a) |
3 | 0(a) |
∑ | 4a |
→4a=1 → a=1/4 con a=1/4 será F de densidad de...