Estadistica

1)
P(A)=1ER REFRESCO
P(B)=2DO REFRESCO

P(A+B)= P(A)+P(B)-P(A+B)
=30+55-15=70%
2)
P(D/A)=2%
P(D/B)=2,4%
P(D/C)=1,5%
A=2200, P(A)=2200/6500=0.39
B=2500,P(B)=2500/6500=0.38
C=1800, P(C)=1800/6500=0.27
P(D)= PROBABILIDAD DEFECTUOSOSP(D)= P(A)*P(D/A)+P(B)*P(D/B)+P(C)*P(D/C)
=(0.39*0.02)+(0.38*0.024)+(0.27*0.015)=0.209 APROX. 2%
3)
P(D/A+B)=3%
P(D/C)=4%
B=X
A=2X
C=A+B=X+2X=3X
X+2X+3X=16X=1
X=1/6
B=1/6
A=1/3
C=1/2
A+B=1/6+1/3=1/2
P(A+B/D)= (1/2*0.03) /((1/2*0.03)+(1/2*0.04)
=0,43 APROX. 43%
P(C/D)= (1/2*0.04) / ((1/2*0.03)+(1/2*0.04)=0,57 = 57%
4)
P(M)=0.80
P(E)=0.70

P(M*E)= P(M)*P(E)
=0.80*0.70
=0.56 = 56%5)
P(A)=2/5, P(D/A)=0.02
P(B)=3/10, P(D/B)=0.04
P(C)=3/10,P(D/C)=0.08
P(A/D)= (2/5*0.02) / ((2/5*0.02)+(3/10*0.04)+(3/10*0.08))
=0.18 =18%