Section outline

  • The content of stat2

    Set theory : definition of sets,  types of sets,  set operations, set theory foemulats.

    The first axis

    Experiment and event : aleatoire event,  random experiment, sample space, Event

    The second  axis

    Combinatory analysis : the basic principale of counting,  permutation,  arrangements,  combinations

     

    The third  axis

    Probabilities : Probability theory (definition, probability cumpute ) , probability characteristics, independence, conditional probability, total theory probabity, Bays theory.

    The fourth  axis

    ·      Random of discrete variables :

    ·      Definition of random of variable, classification  of random variables

    ·      Probability distribution of discrete variables : Density function, Distribution function F(x).

    ·      Other discrete distibution : (regular distribution,  Bernoulli, Binomial, poisson…..)

     

    The fifth axis

    ·      Random of continuons variables

    ·      Probability distribution of continuous variables :Probability  Density function f(x), Distribution function F(x).

    ·      Other continuous distibution : ( Normal distribution, distibution of the place gauss, …..)

    The sixth axis

    ·      Expected value  E(X): definition and caracteristics

    ·      Variance V(X): definition and caracteristics

     

    The seventh axis

    ·      The Moment

    ·      Moment generating fonction

    The eighth axes

    ·      Chebyshev’s

    ·      Law of large numbers

     

    The nineth axes