Question 5
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 this scenario, follow these steps:
1. Define the parameters:
- House models: A, B, C, D, E, F
- Options for each house model: Garage or Carport
- Total number of simulations to run
2. Create a random number generator to simulate the choices:
- Use a random number generator to randomly select a house model (A, B, C, D, E, F)
- Then, randomly select between Garage and Carport for the selected house model
3. Run the simulation for the specified number of times:
- Repeat the random selection process for the specified number of simulations
- Keep track of how many times model B with a garage is selected
4. Calculate the frequency or probability:
- Once all simulations are completed, calculate the frequency of selecting model B with a garage by dividing the number of times this option was chosen by the total number of simulations
5. Generate frequencies to approximate the probability:
- Use the results from the simulation to estimate the probability of a client choosing model B with a garage
By following these steps and running the simulation multiple times, you can generate frequencies that can be used to approximate the probability of a client choosing model B with a car garage in the private subdivision.