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Employee Training Success Probability Analysis

Explore the probability of employee training success based on different training locations and success rates. Calculate the likelihood of passing the licensing exam given specific training location. Understand conditional probability and how it relates to training outcomes.

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Employee Training Success Probability Analysis

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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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