15.8.2.3. Normal and Log-Normal Distributions

Try these first

1. 1.

   What is the primary characteristic of the Normal distribution?

   Hint

   Think about how the data is distributed around the average.

2. 2.

   Can the Log-Normal distribution have negative values?

   Hint

   Consider the nature of the data being modeled.

3. 3.

   What property distinguishes a Log-Normal distribution from a Normal distribution?

   • It can take negative values
   • It's symmetrical
   • It’s positively skewed

   Hint

   Visualize the shapes of both distributions.

4. 4.

   True or False: The mean and standard deviation of Normal distribution can determine the risk of flooding events.

   • True
   • False

   Hint

   Consider how we use averages in assessing risks.

5. 5.

   Given a dataset of rainfall amounts collected over several years, analyze whether it follows a Normal or Log-Normal distribution. Describe your approach.

   Hint

   Explore statistical software for graphical representation.

6. 6.

   Design a study to examine the impact of climate change on the Log-Normal distribution of rainfall over a decade. What methods would you use?

   Hint

   Consider environmental factors that could influence rainfall patterns.