Probability

Beschreibung

Mindmap am Probability, erstellt von Lesly San Juan am 24/08/2014.
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Zusammenfassung der Ressource

Probability
  1. Basic Concepts
    1. Outcomes
      1. The possible results of the experiment
      2. Sample space
        1. Set of all the possible outcomes
        2. Event
          1. Some particular collection of the possible outcomes
          2. Experiments
            1. All tests, random phenomenon
          3. Probability Formulas
            1. Empirical
              1. Theorical
              2. Events involvig"not" and "or"
                1. Properties
                  1. Certain event

                    Anmerkungen:

                    • The probability of certain event is 1. The probability of an event is a number 0 through 1, inclusive.
                    1. P(S)=1
                    2. Probability value

                      Anmerkungen:

                      • The probability of an event is a number 0 through 1, inclusive.
                      1. 0≤ P(E) ≤1
                      2. Impossible event

                        Anmerkungen:

                        • The probability of an impossible event  is 0.
                        1. P (0) = 0
                      3. Addition rule of probability

                        Anmerkungen:

                        • Any event
                        1. P (A U B)= P (A) + P (B) - P (A ∩ B)
                          1. Mutually exclusive events
                            1. P (A U B)= P(A) + P (B)
                          2. Probability of the complement
                            1. P (No E) = 1 - P (E) or P(E') = 1 - P(E)
                          3. Set Operations
                            1. Intersection
                              1. Union
                                1. Complement
                                  1. Difference
                                  2. Events involving "and"
                                    1. Conditional probability formula

                                      Anmerkungen:

                                      • The probability of event B, computed on the assumption that event A has happened.
                                      1. Multiplication rule of probability
                                        1. For independt events
                                          1. P (A and B) = P(A) * P(B)
                                          2. For any two events
                                            1. P(A and B)= P(A)* P(B|A)
                                        2. Alumna: Lesly Lizbeth San Juan González A01400471
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