Sketch a normal curve to describe this distribution. Then find the probability that a 10 story building has a height greater than 37 meters.

Answer 1

Unfortunately, I am unable to sketch a normal curve as I am a text-based AI. However, for a typical distribution of building heights, a normal curve would look like a bell curve with the highest point at the mean height of buildings and tapering off on either side.

To find the probability that a 10-story building has a height greater than 37 meters, we would need to know the mean and standard deviation of building heights. From there, we could calculate the z-score for a building that is 37 meters tall using the formula:

z = (X - μ) / σ

where X is the height of the building (37 meters in this case), μ is the mean height of buildings, and σ is the standard deviation of building heights.

Once we find the z-score, we can look up the corresponding probability from a standard normal distribution table or use a calculator to find the probability that a building has a height greater than 37 meters.