formulas2015 - Medidas muestrales Reglas de Probabilidad n...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
4/25/2015 1 Medidas muestrales 1 Media muestral ponderada Mediana Varianza muestral Covarianza Coeficiente de correlación muestral 1 , 1 0 1 1 n i i i n i i i w w w donde X w X n i i i XY Y Y X X n S 1 1 1 Reglas de Probabilidad 2 1. Para todo evento A, 0 P(A) 1 2. P(A B) = Prob(que se de A o B), P(A B) = P(A)+P(B) - P(A B) 3. Probabilidad condicional Regla de Bayes 4. Eventos Independientes: A y B son independientes si P(A / B) = P(A) o P(A ∩ B) = P(A)*P(B) 5. Probabilidad Total: Si el evento B tiene dos casos posibles P(A )=P(A / B1)*P(B1) + P(A / B2)*P(B2) ) ( ) ( ) / ( A P B A P A B P ) ( ) ( ) / ( ) / ( A P B P B A P A B P Esperanza matemática Varianza Covarianza 3 n i i i n n x p x x X p x x X p x X E 1 1 1 ) ( ) ( ... ) ( ) ( n i i i x p x E x x E x E X 1 2 2 ) ( ) ( ) ( ) var(     Y E Y X E X E p Y E y X E x Y X Y X XY XY Y i X i ) , cov( Reglas de la esperanza: E(X+a)=E(X)+a E(aX)=aE(X) E(X+Y)=E(X)+E(Y) E(aX+bY)= aE(X)+bE(Y) E(X Y) = E(X) E(Y) solo si son independientes Reglas de la varianza: var(X) 0 var(a)=0
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern