Answer :
Final answer:
The question involves calculating the probability of a dealership being in specific square footage ranges, which requires knowledge of the distribution of square footages in the sample of 1000 dealerships.
Explanation:
The student is asking about the probability of randomly selecting a dealership with square footage within specific ranges from a sample of 1000 dealerships. To calculate these probabilities, one would typically need data on the distribution of these square footages, such as the number of dealerships within each range or a probability density function. In cases involving continuous data, a uniform distribution, normal distribution, or another probability distribution may be used to model the data and estimate these probabilities.
To properly answer parts a), b), c), and d) of the question, the exact distribution of dealership square footages must be known or assumed based on provided data. In a real-world situation, this data would usually be available from corporate records or conducted surveys. If the distribution is known to be normal, for example represented as N(2,000, 1,000), we would use the z-score formula to calculate the probabilities for each range and then use the z-table to find the corresponding probability values.
