The Dodge Brand of trucks wants to learn about customer satisfaction among the owners of five specific truck models. Large sales volumes have been recorded for models B, C and D models, but the other two models were recently introduced so their sales volumes are smaller. The number of new trucks sold in the last six months for each of the models is shown in the table below. Model: A Number of trucks sold in last six months: 2,811 B с 117,322 96,102 81,333 3,102 D E Total 300,670 Dodge can obtain a list of all individuals who purchased new trucks in the last six months for each of the five models shown in the table. The company wants to sample 2,000 of these owners. We are interested in the sample size for model A truck owners. (a) Explain in context the probability model we can use to evaluate the sample size of model A, and why. (b) For a Simple Random Sample of 2,000 new car owners, calculate and interpret the expected number of owners of model A? Interpret the EV in context. (c) For a Simple Random Sample of 2,000 new car owners, calculate and interpret in context the std.dev of the number of owners of model A. (d) When selecting a simple random sample of 2,000 new car owners, how likely is it that fewer than 10 owners of model A would be included in the sample? Justify your answer.