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Probability

Probability. P(E)=. Sample Space. All possible outcomes for a chance experiment. Disjoint – (Mutually Exclusive). They have nothing in common. P(A B)=0. Law of Large Numbers.

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Probability

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  1. Probability P(E)=

  2. Sample Space All possible outcomes for a chance experiment Disjoint – (Mutually Exclusive) They have nothing in common. P(AB)=0

  3. Law of Large Numbers As the number of repetitions of an experiment increases, the experimental (empirical) probability will approach the theoretical (classical) probability.

  4. Formulas Conditional Probability: If Independent, then:

  5. Dependent Independent

  6. Independent: Mutually Exclusive: Dependent

  7. Independent Mutually Exclusive

  8. Are They Independent? Does They are not independent.

  9. Baye's A corporation has three methods of training employees. Because of time, space, and location, it sends 20% of its employees to location A, 35% to location B, and 45% to location C. Location A has an 80% success rate. That is 80% of the employees who complete the course will pass the licensing exam. Location B has a 75% success rate, and location C has a 60% success rate. If a person has passed the exam, find the probability that the person went to location B.

  10. .80 = Location A Pass 0.16 .20 .75 = .35 Pass 0.2625 Location B .45 .60 = Location C Pass 0.27 0.6925

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