A large company plans to develop a private subdivision. There are 6 house models to choose from and for each model, a client may opt to have a garage or a carport. Use A, B, C, D, E, and F as labels for the house models. a. Design a simulation to generate frequencies that can be used to approximate the probability of a client who will choose model B with a car garage.
To design a simulation to generate frequencies for the probability of a client choosing model B with a car garage, follow these steps:
1. Define the parameters:
- Total number of clients to simulate (e.g., 1000 clients)
- Probability of choosing model B (e.g., 1/6)
- Probability of opting for a car garage (e.g., 1/2)
2. Create a simulation loop that runs for the total number of clients:
- For each client, randomly select a house model from A, B, C, D, E, F based on the probability distribution.
- If model B is chosen, randomly select between a car garage and a carport based on the probability distribution.
- Increment the frequency count for clients who chose model B with a car garage.
3. After running the simulation for all clients, calculate the frequency of clients who chose model B with a car garage.
- Probability = Frequency of clients who chose model B with a car garage / Total number of clients
4. Run the simulation multiple times to generate more accurate probabilities and observe any patterns or trends.
By following these steps, you can design a simulation to generate frequencies that will help approximate the probability of a client choosing model B with a car garage in the private subdivision development.