A large company plans to develop a private subdivision. There are six 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.
b. Use the results of the simulation to calculate the probability that a client
will choose model B with a car garage
a. To design a simulation to generate frequencies, we can follow these steps:
1. Create a list of all possible options for each house model: A with car garage, A with carport, B with car garage, B with carport, C with car garage, C with carport, D with car garage, D with carport, E with car garage, E with carport, F with car garage, F with carport.
2. Assign probabilities to each option based on the company's data or assumptions.
3. Use a random number generator to simulate a client choosing a house model with a garage or carport.
4. Repeat the simulation multiple times to generate frequencies.
5. Calculate the frequency of clients choosing model B with a car garage.
b. Once the simulation is completed and frequencies are generated, we can calculate the probability that a client will choose model B with a car garage by dividing the frequency of clients choosing model B with a car garage by the total number of simulations conducted. This will give us an approximation of the probability of a client choosing model B with a car garage.