Final answer:
A histogram's bell-shaped, symmetrical curve indicates a normal distribution is a reasonable model for the historical density of umbrella trees, characterized by aligned mean, median, and mode.
Step-by-step explanation:
To determine if a normal probability distribution models the historical density of umbrella trees, we would look at the shape of the histogram created from the data. If the histogram's bars form a symmetrical, bell-shaped curve when a smooth curve is drawn through the midpoints of the tops, and if the mean, median, and mode all align at the center peak, then the normal distribution would be reasonable. A normal distribution is characterized by its bell-shape and parameters including the mean (μ) and standard deviation (o). It is important to note that the cumulative relative frequency and the probability calculated from the normal distribution may differ as the former relies on actual sample data while the latter uses the approximated normal model.
A normal probability distribution is characterized by a symmetric, bell-shaped curve. To determine if it reasonably models the historical density of umbrella trees, you would need to compare the shape of the histogram to a normal distribution curve. If the histogram is roughly symmetric and bell-shaped, then a normal distribution could be a reasonable approximation.