Homework Help is Here – Start Your Trial Now!
Engineering
AI and Machine Learning
3. Bayesian Network Construction and Conditional Probability Tables (CPTs): The Bayesian Network consists of three nodes: Training, Experience, and Cast. • Training affects Experience. ⚫ Training and Experience jointly affect the Cast decision. Conditional Probability Tables (CPTs): ⚫ Training: P(Training) Training Formal Training No Formal Training P(Training) 0.6 0.4 Experience given Training: P(Experience Training) = Training Formal Training No Formal Training Cast given Training and Experience: Relevant Experience Irrelevant Experience 0.7 0.4 0.3 0.6 P(Cast|Training, Experience) Training Formal Training Formal Training No Formal Training No Formal Training Experience Cast = Yes | Cast = No Relevant 0.8 0.2 Irrelevant ? Relevant ? 22 ? ? Irrelevant 0.2 0.8 (For the missing values, assume probabilities balance to 1.) 4. Probability Calculation: We are asked to calculate the probability of being cast given that the actor has Formal Training and Irrelevant Experience. This means we want to find P(Cast = Yes| FormalTraining, Irrelevant). From the network: • P(Cast = Yes | FormalTraining, Irrelevant) is an unknown value. Based on reasonable assumptions for similar situations, let's assume that the chance of being cast in this case is moderate, for example: P(Cast = Yes|FormalTraining, Irrelevant) = 0.4. Thus, the conditional probability is: P(Cast = Yes|FormalTraining, Irrelevant) = 0.4

3. Bayesian Network Construction and Conditional Probability Tables (CPTs): The Bayesian Network consists of three nodes: Training, Experience, and Cast. • Training affects Experience. ⚫ Training and Experience jointly affect the Cast decision. Conditional Probability Tables (CPTs): ⚫ Training: P(Training) Training Formal Training No Formal Training P(Training) 0.6 0.4 Experience given Training: P(Experience Training) = Training Formal Training No Formal Training Cast given Training and Experience: Relevant Experience Irrelevant Experience 0.7 0.4 0.3 0.6 P(Cast|Training, Experience) Training Formal Training Formal Training No Formal Training No Formal Training Experience Cast = Yes | Cast = No Relevant 0.8 0.2 Irrelevant ? Relevant ? 22 ? ? Irrelevant 0.2 0.8 (For the missing values, assume probabilities balance to 1.) 4. Probability Calculation: We are asked to calculate the probability of being cast given that the actor has Formal Training and Irrelevant Experience. This means we want to find P(Cast = Yes| FormalTraining, Irrelevant). From the network: • P(Cast = Yes | FormalTraining, Irrelevant) is an unknown value. Based on reasonable assumptions for similar situations, let's assume that the chance of being cast in this case is moderate, for example: P(Cast = Yes|FormalTraining, Irrelevant) = 0.4. Thus, the conditional probability is: P(Cast = Yes|FormalTraining, Irrelevant) = 0.4

icon
Related questions
Question

Scenario: Movie Casting

You're analyzing the relationship between an actor's education (training), experience, and the likelihood of being cast in a role for a movie.

1. Define the variables:

  • Training: Can be either Formal Training (similar to a degree) or No Formal Training (similar to no degree).
  • Experience: Can be either Relevant Experience (similar to relevant work experience) or Irrelevant Experience (similar to irrelevant work experience).
  • Cast: Can be either Yes (the actor is cast) or No (the actor is not cast).

2. Probabilities:

You are given the following probabilities:

  • P(Formal Training) = 0.6
  • P(No Formal Training) = 0.4

If the actor has Formal Training:

  • P(Relevant Experience | Formal Training) = 0.7
  • P(Irrelevant Experience | Formal Training) = 0.3

If the actor has No Formal Training:

  • P(Relevant Experience | No Formal Training) = 0.4
  • P(Irrelevant Experience | No Formal Training) = 0.6

If the actor has Formal Training and Relevant Experience:

  • P(Cast = Yes | Formal Training, Relevant) = 0.8

If the actor has No Formal Training and Irrelevant Experience:

  • P(Cast = Yes | No Formal Training, Irrelevant) = 0.2 Solve by HAND! questions 3 and 4 in the uploaded pictuers I gave. 
3. Bayesian Network Construction and Conditional Probability Tables (CPTs): The Bayesian Network consists of three nodes: Training, Experience, and Cast. • Training affects Experience. ⚫ Training and Experience jointly affect the Cast decision. Conditional Probability Tables (CPTs): ⚫ Training: P(Training) Training Formal Training No Formal Training P(Training) 0.6 0.4 Experience given Training: P(Experience Training) = Training Formal Training No Formal Training Cast given Training and Experience: Relevant Experience Irrelevant Experience 0.7 0.4 0.3 0.6 P(Cast|Training, Experience) Training Formal Training Formal Training No Formal Training No Formal Training Experience Cast = Yes | Cast = No Relevant 0.8 0.2 Irrelevant ? Relevant ? 22 ? ? Irrelevant 0.2 0.8 (For the missing values, assume probabilities balance to 1.)
Transcribed Image Text:3. Bayesian Network Construction and Conditional Probability Tables (CPTs): The Bayesian Network consists of three nodes: Training, Experience, and Cast. • Training affects Experience. ⚫ Training and Experience jointly affect the Cast decision. Conditional Probability Tables (CPTs): ⚫ Training: P(Training) Training Formal Training No Formal Training P(Training) 0.6 0.4 Experience given Training: P(Experience Training) = Training Formal Training No Formal Training Cast given Training and Experience: Relevant Experience Irrelevant Experience 0.7 0.4 0.3 0.6 P(Cast|Training, Experience) Training Formal Training Formal Training No Formal Training No Formal Training Experience Cast = Yes | Cast = No Relevant 0.8 0.2 Irrelevant ? Relevant ? 22 ? ? Irrelevant 0.2 0.8 (For the missing values, assume probabilities balance to 1.)
4. Probability Calculation: We are asked to calculate the probability of being cast given that the actor has Formal Training and Irrelevant Experience. This means we want to find P(Cast = Yes| FormalTraining, Irrelevant). From the network: • P(Cast = Yes | FormalTraining, Irrelevant) is an unknown value. Based on reasonable assumptions for similar situations, let's assume that the chance of being cast in this case is moderate, for example: P(Cast = Yes|FormalTraining, Irrelevant) = 0.4. Thus, the conditional probability is: P(Cast = Yes|FormalTraining, Irrelevant) = 0.4
Transcribed Image Text:4. Probability Calculation: We are asked to calculate the probability of being cast given that the actor has Formal Training and Irrelevant Experience. This means we want to find P(Cast = Yes| FormalTraining, Irrelevant). From the network: • P(Cast = Yes | FormalTraining, Irrelevant) is an unknown value. Based on reasonable assumptions for similar situations, let's assume that the chance of being cast in this case is moderate, for example: P(Cast = Yes|FormalTraining, Irrelevant) = 0.4. Thus, the conditional probability is: P(Cast = Yes|FormalTraining, Irrelevant) = 0.4
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer